85556292768 has 960 divisors, whose sum is σ = 298753297920. Its totient is φ = 23843635200.

The previous prime is 85556292721. The next prime is 85556292781. The reversal of 85556292768 is 86729265558.

85556292768 is a `hidden beast` number, since 8 + 5 + 5 + 562 + 9 + 2 + 7 + 68 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1205018173 + ... + 1205018243.

It is an arithmetic number, because the mean of its divisors is an integer number (311201352).

Almost surely, 2^85556292768 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 85556292768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149376648960).

85556292768 is an abundant number, since it is smaller than the sum of its proper divisors (213197005152).

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

85556292768 is a wasteful number, since it uses less digits than its factorization.

85556292768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 85556292768 in words is "eighty-five billion, five hundred fifty-six million, two hundred ninety-two thousand, seven hundred sixty-eight".