82638435962880 has 4368 divisors, whose sum is σ = 368597141979264. Its totient is φ = 17698046607360.

The previous prime is 82638435962869. The next prime is 82638435962899. The reversal of 82638435962880 is 8826953483628.

82638435962880 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 8 + 4 + 3 + 596 + 28 + 8 + 0 = 666.

It is a super-3 number, since 3×82638435962880³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82638435962799 and 82638435962808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1163921633245 + ... + 1163921633315.

Almost surely, 2^{82638435962880} is an apocalyptic number.

82638435962880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82638435962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184298570989632).

82638435962880 is an abundant number, since it is smaller than the sum of its proper divisors (285958706016384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82638435962880 is an equidigital number, since it uses as much as digits as its factorization.

82638435962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 82638435962880 in words is "eighty-two trillion, six hundred thirty-eight billion, four hundred thirty-five million, nine hundred sixty-two thousand, eight hundred eighty".