85508207928000 has 6720 divisors, whose sum is σ = 411476146937856. Its totient is φ = 17258987520000.

The previous prime is 85508207927953. The next prime is 85508207928019. The reversal of 85508207928000 is 82970280558.

85508207928000 is a `hidden beast` number, since 8 + 550 + 8 + 2 + 0 + 7 + 9 + 2 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 830176775949 + ... + 830176776051.

Almost surely, 2^{85508207928000} is an apocalyptic number.

85508207928000 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 85508207928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205738073468928).

85508207928000 is an abundant number, since it is smaller than the sum of its proper divisors (325967939009856).

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

85508207928000 is a wasteful number, since it uses less digits than its factorization.

85508207928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 85508207928000 in words is "eighty-five trillion, five hundred eight billion, two hundred seven million, nine hundred twenty-eight thousand".