85213513728 has 576 divisors, whose sum is σ = 297209727360. Its totient is φ = 23887872000.

The previous prime is 85213513691. The next prime is 85213513733. The reversal of 85213513728 is 82731531258.

85213513728 is a `hidden beast` number, since 8 + 52 + 13 + 513 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×85213513728² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212502328 + ... + 212502728.

It is an arithmetic number, because the mean of its divisors is an integer number (515989110).

Almost surely, 2^85213513728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85213513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148604863680).

85213513728 is an abundant number, since it is smaller than the sum of its proper divisors (211996213632).

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

85213513728 is an equidigital number, since it uses as much as digits as its factorization.

85213513728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 474 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 85213513728 in words is "eighty-five billion, two hundred thirteen million, five hundred thirteen thousand, seven hundred twenty-eight".