85715151520032 has 72 divisors (see below), whose sum is σ = 245161436047164. Its totient is φ = 28406562722304.

The previous prime is 85715151519989. The next prime is 85715151520039. The reversal of 85715151520032 is 23002515151758.

85715151520032 is a `hidden beast` number, since 8 + 5 + 71 + 5 + 1 + 51 + 520 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68298918947856 + 17416232572176 = 8264316^2 + 4173276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 85715151520032.

It is not an unprimeable number, because it can be changed into a prime (85715151520039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 860129523 + ... + 860229170.

Almost surely, 2^{85715151520032} is an apocalyptic number.

It is an amenable number.

85715151520032 is an abundant number, since it is smaller than the sum of its proper divisors (159446284527132).

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

85715151520032 is a wasteful number, since it uses less digits than its factorization.

85715151520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720358882 (or 1720358871 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 45.

The spelling of 85715151520032 in words is "eighty-five trillion, seven hundred fifteen billion, one hundred fifty-one million, five hundred twenty thousand, thirty-two".