82851656976 has 320 divisors, whose sum is σ = 269434183680. Its totient is φ = 24148800000.

The previous prime is 82851656959. The next prime is 82851656999. The reversal of 82851656976 is 67965615828.

82851656976 is a `hidden beast` number, since 8 + 28 + 516 + 5 + 6 + 97 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25483351 + ... + 25486601.

It is an arithmetic number, because the mean of its divisors is an integer number (841981824).

Almost surely, 2^82851656976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82851656976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134717091840).

82851656976 is an abundant number, since it is smaller than the sum of its proper divisors (186582526704).

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

82851656976 is a wasteful number, since it uses less digits than its factorization.

82851656976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3471 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 82851656976 in words is "eighty-two billion, eight hundred fifty-one million, six hundred fifty-six thousand, nine hundred seventy-six".