85250592000 has 864 divisors, whose sum is σ = 358148044800. Its totient is φ = 19463270400.

The previous prime is 85250591983. The next prime is 85250592013. The reversal of 85250592000 is 29505258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98783569 + ... + 98784431.

It is an arithmetic number, because the mean of its divisors is an integer number (414523200).

Almost surely, 2^85250592000 is an apocalyptic number.

85250592000 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 85250592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179074022400).

85250592000 is an abundant number, since it is smaller than the sum of its proper divisors (272897452800).

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

85250592000 is an equidigital number, since it uses as much as digits as its factorization.

85250592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 85250592000 in words is "eighty-five billion, two hundred fifty million, five hundred ninety-two thousand".