89199052800 has 1152 divisors, whose sum is σ = 360336936960. Its totient is φ = 19169280000.

The previous prime is 89199052793. The next prime is 89199052889. The reversal of 89199052800 is 825099198.

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, 680908735 + ... + 680908865.

It is an arithmetic number, because the mean of its divisors is an integer number (312792480).

Almost surely, 2^89199052800 is an apocalyptic number.

89199052800 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 89199052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180168468480).

89199052800 is an abundant number, since it is smaller than the sum of its proper divisors (271137884160).

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

89199052800 is a wasteful number, since it uses less digits than its factorization.

89199052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 89199052800 in words is "eighty-nine billion, one hundred ninety-nine million, fifty-two thousand, eight hundred".