85715743599360 has 864 divisors, whose sum is σ = 345712524812928. Its totient is φ = 19201177681920.

The previous prime is 85715743599359. The next prime is 85715743599371. The reversal of 85715743599360 is 6399534751758.

85715743599360 is a `hidden beast` number, since 8 + 5 + 7 + 157 + 435 + 9 + 9 + 36 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021748064 + ... + 4021769376.

It is an arithmetic number, because the mean of its divisors is an integer number (400130237052).

Almost surely, 2^{85715743599360} is an apocalyptic number.

85715743599360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85715743599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172856262406464).

85715743599360 is an abundant number, since it is smaller than the sum of its proper divisors (259996781213568).

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

85715743599360 is a wasteful number, since it uses less digits than its factorization.

85715743599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 857304000, while the sum is 72.

The spelling of 85715743599360 in words is "eighty-five trillion, seven hundred fifteen billion, seven hundred forty-three million, five hundred ninety-nine thousand, three hundred sixty".