85328394078816 has 120 divisors (see below), whose sum is σ = 286798213492560. Its totient is φ = 24379541160192.

The previous prime is 85328394078803. The next prime is 85328394078833. The reversal of 85328394078816 is 61887049382358.

85328394078816 is a `hidden beast` number, since 8 + 53 + 2 + 83 + 9 + 407 + 88 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2351403651 + ... + 2351439938.

It is an arithmetic number, because the mean of its divisors is an integer number (2389985112438).

It is a 1-persistent number, because it is pandigital, but 2⋅85328394078816 = 170656788157632 is not.

Almost surely, 2^{85328394078816} is an apocalyptic number.

It is an amenable number.

85328394078816 is an abundant number, since it is smaller than the sum of its proper divisors (201469819413744).

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

85328394078816 is a wasteful number, since it uses less digits than its factorization.

85328394078816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702843618 (or 4702843601 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 85328394078816 in words is "eighty-five trillion, three hundred twenty-eight billion, three hundred ninety-four million, seventy-eight thousand, eight hundred sixteen".