82975656960 has 704 divisors, whose sum is σ = 354822067200. Its totient is φ = 17963679744.

The previous prime is 82975656943. The next prime is 82975656961. The reversal of 82975656960 is 6965657928.

82975656960 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 5 + 6 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82975656961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18383664 + ... + 18388176.

Almost surely, 2^82975656960 is an apocalyptic number.

82975656960 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 82975656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177411033600).

82975656960 is an abundant number, since it is smaller than the sum of its proper divisors (271846410240).

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

82975656960 is a wasteful number, since it uses less digits than its factorization.

82975656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 82975656960 in words is "eighty-two billion, nine hundred seventy-five million, six hundred fifty-six thousand, nine hundred sixty".