89925227481600 has 2400 divisors, whose sum is σ = 401429100821760. Its totient is φ = 19436552847360.

The previous prime is 89925227481569. The next prime is 89925227481613. The reversal of 89925227481600 is 618472252998.

89925227481600 is a `hidden beast` number, since 8 + 9 + 9 + 2 + 522 + 7 + 48 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14856304174 + ... + 14856310226.

Almost surely, 2^{89925227481600} is an apocalyptic number.

89925227481600 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 89925227481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200714550410880).

89925227481600 is an abundant number, since it is smaller than the sum of its proper divisors (311503873340160).

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

89925227481600 is a wasteful number, since it uses less digits than its factorization.

89925227481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 89925227481600 in words is "eighty-nine trillion, nine hundred twenty-five billion, two hundred twenty-seven million, four hundred eighty-one thousand, six hundred".