85715432352 has 144 divisors (see below), whose sum is σ = 281554745472. Its totient is φ = 24446453760.

The previous prime is 85715432333. The next prime is 85715432389. The reversal of 85715432352 is 25323451758.

85715432352 is a `hidden beast` number, since 8 + 5 + 71 + 543 + 2 + 35 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85715432298 and 85715432307.

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, 741928 + ... + 849639.

It is an arithmetic number, because the mean of its divisors is an integer number (1955241288).

Almost surely, 2^85715432352 is an apocalyptic number.

It is an amenable number.

85715432352 is an abundant number, since it is smaller than the sum of its proper divisors (195839313120).

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

85715432352 is a wasteful number, since it uses less digits than its factorization.

85715432352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591611 (or 1591600 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 85715432352 in words is "eighty-five billion, seven hundred fifteen million, four hundred thirty-two thousand, three hundred fifty-two".