90553102444800 has 648 divisors, whose sum is σ = 335942212988928. Its totient is φ = 23246106624000.

The previous prime is 90553102444787. The next prime is 90553102444853. The reversal of 90553102444800 is 844420135509.

90553102444800 is a `hidden beast` number, since 9 + 0 + 55 + 310 + 244 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340916844 + ... + 341182356.

Almost surely, 2^{90553102444800} is an apocalyptic number.

90553102444800 is a gapful number since it is divisible by the number (90) 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 90553102444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167971106494464).

90553102444800 is an abundant number, since it is smaller than the sum of its proper divisors (245389110544128).

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

90553102444800 is a wasteful number, since it uses less digits than its factorization.

90553102444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265767 (or 265745 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 90553102444800 in words is "ninety trillion, five hundred fifty-three billion, one hundred two million, four hundred forty-four thousand, eight hundred".