85967756640 has 144 divisors (see below), whose sum is σ = 302828512896. Its totient is φ = 22185216000.

The previous prime is 85967756599. The next prime is 85967756669. The reversal of 85967756640 is 4665776958.

85967756640 is a `hidden beast` number, since 8 + 5 + 9 + 67 + 7 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918261 + ... + 1007540.

It is an arithmetic number, because the mean of its divisors is an integer number (2102975784).

Almost surely, 2^85967756640 is an apocalyptic number.

85967756640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85967756640 is an abundant number, since it is smaller than the sum of its proper divisors (216860756256).

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

85967756640 is a wasteful number, since it uses less digits than its factorization.

85967756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925853 (or 1925842 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 85967756640 in words is "eighty-five billion, nine hundred sixty-seven million, seven hundred fifty-six thousand, six hundred forty".