90055625721600 has 1296 divisors, whose sum is σ = 373742912533760. Its totient is φ = 18692923392000.

The previous prime is 90055625721571. The next prime is 90055625721619. The reversal of 90055625721600 is 612752655009.

It is a super-2 number, since 2×90055625721600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90055625721600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19043268036 + ... + 19043272764.

Almost surely, 2^{90055625721600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90055625721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186871456266880).

90055625721600 is an abundant number, since it is smaller than the sum of its proper divisors (283687286812160).

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

90055625721600 is a wasteful number, since it uses less digits than its factorization.

90055625721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 90055625721600 in words is "ninety trillion, fifty-five billion, six hundred twenty-five million, seven hundred twenty-one thousand, six hundred".