85876374960 has 560 divisors, whose sum is σ = 307591500384. Its totient is φ = 22281412608.

The previous prime is 85876374929. The next prime is 85876374977. The reversal of 85876374960 is 6947367858.

85876374960 is a `hidden beast` number, since 8 + 5 + 87 + 63 + 7 + 496 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 546983202 + ... + 546983358.

Almost surely, 2^85876374960 is an apocalyptic number.

85876374960 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 85876374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153795750192).

85876374960 is an abundant number, since it is smaller than the sum of its proper divisors (221715125424).

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

85876374960 is a wasteful number, since it uses less digits than its factorization.

85876374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 85876374960 in words is "eighty-five billion, eight hundred seventy-six million, three hundred seventy-four thousand, nine hundred sixty".