85715321899680 has 288 divisors, whose sum is σ = 329756054443200. Its totient is φ = 20779471848960.

The previous prime is 85715321899667. The next prime is 85715321899687. The reversal of 85715321899680 is 8699812351758.

85715321899680 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 532 + 1 + 8 + 9 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 85715321899599 and 85715321899608.

It is not an unprimeable number, because it can be changed into a prime (85715321899687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81466990 + ... + 82512429.

It is an arithmetic number, because the mean of its divisors is an integer number (1144986300150).

Almost surely, 2^{85715321899680} is an apocalyptic number.

85715321899680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85715321899680 is an abundant number, since it is smaller than the sum of its proper divisors (244040732543520).

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

85715321899680 is a wasteful number, since it uses less digits than its factorization.

85715321899680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163979465 (or 163979440 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 85715321899680 in words is "eighty-five trillion, seven hundred fifteen billion, three hundred twenty-one million, eight hundred ninety-nine thousand, six hundred eighty".