85516257634016 has 48 divisors (see below), whose sum is σ = 189590295541248. Its totient is φ = 37617122121600.

The previous prime is 85516257634009. The next prime is 85516257634051. The reversal of 85516257634016 is 61043675261558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3918439310 + ... + 3918461133.

It is an arithmetic number, because the mean of its divisors is an integer number (3949797823776).

Almost surely, 2^{85516257634016} is an apocalyptic number.

It is an amenable number.

85516257634016 is an abundant number, since it is smaller than the sum of its proper divisors (104074037907232).

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

85516257634016 is a wasteful number, since it uses less digits than its factorization.

85516257634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836900495 (or 7836900487 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 59.

The spelling of 85516257634016 in words is "eighty-five trillion, five hundred sixteen billion, two hundred fifty-seven million, six hundred thirty-four thousand, sixteen".