89881052800 has 864 divisors, whose sum is σ = 298121454720. Its totient is φ = 26449920000.

The previous prime is 89881052797. The next prime is 89881052819. The reversal of 89881052800 is 825018898.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2192220780 + ... + 2192220820.

It is an arithmetic number, because the mean of its divisors is an integer number (345047980).

Almost surely, 2^89881052800 is an apocalyptic number.

89881052800 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 89881052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149060727360).

89881052800 is an abundant number, since it is smaller than the sum of its proper divisors (208240401920).

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

89881052800 is a wasteful number, since it uses less digits than its factorization.

89881052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 89881052800 in words is "eighty-nine billion, eight hundred eighty-one million, fifty-two thousand, eight hundred".