90057122400 has 288 divisors, whose sum is σ = 337658388480. Its totient is φ = 20421918720.

The previous prime is 90057122399. The next prime is 90057122429. The reversal of 90057122400 is 422175009.

It is a super-2 number, since 2×90057122400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2112496 + ... + 2154704.

It is an arithmetic number, because the mean of its divisors is an integer number (1172424960).

Almost surely, 2^90057122400 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 90057122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168829194240).

90057122400 is an abundant number, since it is smaller than the sum of its proper divisors (247601266080).

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

90057122400 is a wasteful number, since it uses less digits than its factorization.

90057122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42366 (or 42353 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 90057122400 its reverse (422175009), we get a palindrome (90479297409).

The spelling of 90057122400 in words is "ninety billion, fifty-seven million, one hundred twenty-two thousand, four hundred".