85504372800 has 504 divisors, whose sum is σ = 356002437600. Its totient is φ = 17766604800.

The previous prime is 85504372777. The next prime is 85504372801. The reversal of 85504372800 is 827340558.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85504372801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2570676 + ... + 2603724.

Almost surely, 2^85504372800 is an apocalyptic number.

85504372800 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 85504372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178001218800).

85504372800 is an abundant number, since it is smaller than the sum of its proper divisors (270498064800).

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

85504372800 is a wasteful number, since it uses less digits than its factorization.

85504372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33099 (or 33077 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 85504372800 in words is "eighty-five billion, five hundred four million, three hundred seventy-two thousand, eight hundred".