85528900800 has 1008 divisors, whose sum is σ = 363511209984. Its totient is φ = 18662400000.

The previous prime is 85528900799. The next prime is 85528900819. The reversal of 85528900800 is 800982558.

85528900800 is a `hidden beast` number, since 8 + 552 + 8 + 90 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315604665 + ... + 315604935.

Almost surely, 2^85528900800 is an apocalyptic number.

85528900800 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 85528900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181755604992).

85528900800 is an abundant number, since it is smaller than the sum of its proper divisors (277982309184).

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

85528900800 is a wasteful number, since it uses less digits than its factorization.

85528900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 85528900800 in words is "eighty-five billion, five hundred twenty-eight million, nine hundred thousand, eight hundred".