85690468920 has 768 divisors, whose sum is σ = 324794880000. Its totient is φ = 18069682176.

The previous prime is 85690468883. The next prime is 85690468933. The reversal of 85690468920 is 2986409658.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1084689441 + ... + 1084689519.

It is an arithmetic number, because the mean of its divisors is an integer number (422910000).

Almost surely, 2^85690468920 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 85690468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397440000).

85690468920 is an abundant number, since it is smaller than the sum of its proper divisors (239104411080).

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

85690468920 is a wasteful number, since it uses less digits than its factorization.

85690468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 85690468920 in words is "eighty-five billion, six hundred ninety million, four hundred sixty-eight thousand, nine hundred twenty".