85607108352 has 324 divisors, whose sum is σ = 265530010200. Its totient is φ = 26516422656.

The previous prime is 85607108309. The next prime is 85607108399. The reversal of 85607108352 is 25380170658.

85607108352 is a `hidden beast` number, since 8 + 5 + 607 + 1 + 0 + 8 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85607108298 and 85607108307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55265274 + ... + 55266822.

Almost surely, 2^85607108352 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 85607108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765005100).

85607108352 is an abundant number, since it is smaller than the sum of its proper divisors (179922901848).

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

85607108352 is a wasteful number, since it uses less digits than its factorization.

85607108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 85607108352 in words is "eighty-five billion, six hundred seven million, one hundred eight thousand, three hundred fifty-two".