85710532892400 has 960 divisors, whose sum is σ = 340225182528000. Its totient is φ = 20358926622720.

The previous prime is 85710532892389. The next prime is 85710532892417. The reversal of 85710532892400 is 429823501758.

85710532892400 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 0 + 532 + 89 + 24 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 501002076 + ... + 501173124.

It is an arithmetic number, because the mean of its divisors is an integer number (354401231800).

Almost surely, 2^{85710532892400} is an apocalyptic number.

85710532892400 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 85710532892400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170112591264000).

85710532892400 is an abundant number, since it is smaller than the sum of its proper divisors (254514649635600).

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

85710532892400 is a wasteful number, since it uses less digits than its factorization.

85710532892400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171215 (or 171198 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 85710532892400 in words is "eighty-five trillion, seven hundred ten billion, five hundred thirty-two million, eight hundred ninety-two thousand, four hundred".