82912124267280 has 1440 divisors, whose sum is σ = 363632770620288. Its totient is φ = 16729174425600.

The previous prime is 82912124267239. The next prime is 82912124267299. The reversal of 82912124267280 is 8276242121928.

82912124267280 is a `hidden beast` number, since 8 + 2 + 91 + 2 + 12 + 4 + 267 + 280 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7481012619 + ... + 7481023701.

Almost surely, 2^{82912124267280} is an apocalyptic number.

82912124267280 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 82912124267280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181816385310144).

82912124267280 is an abundant number, since it is smaller than the sum of its proper divisors (280720646353008).

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

82912124267280 is a wasteful number, since it uses less digits than its factorization.

82912124267280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82912124267280 in words is "eighty-two trillion, nine hundred twelve billion, one hundred twenty-four million, two hundred sixty-seven thousand, two hundred eighty".