10627283272320 has 1024 divisors, whose sum is σ = 44281288396800. Its totient is φ = 2374753075200.

The previous prime is 10627283272301. The next prime is 10627283272349. The reversal of 10627283272320 is 2327238272601.

10627283272320 is a `hidden beast` number, since 1 + 0 + 6 + 27 + 283 + 27 + 2 + 320 = 666.

It is a super-2 number, since 2×10627283272320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2004010789 + ... + 2004016091.

It is an arithmetic number, because the mean of its divisors is an integer number (43243445700).

Almost surely, 2^{10627283272320} is an apocalyptic number.

10627283272320 is a gapful number since it is divisible by the number (10) 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 10627283272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140644198400).

10627283272320 is an abundant number, since it is smaller than the sum of its proper divisors (33654005124480).

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

10627283272320 is a wasteful number, since it uses less digits than its factorization.

10627283272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 10627283272320 in words is "ten trillion, six hundred twenty-seven billion, two hundred eighty-three million, two hundred seventy-two thousand, three hundred twenty".