90989113622400 has 1152 divisors, whose sum is σ = 388763290056960. Its totient is φ = 20582984908800.

The previous prime is 90989113622387. The next prime is 90989113622401. The reversal of 90989113622400 is 422631198909.

90989113622400 is a `hidden beast` number, since 9 + 0 + 9 + 8 + 9 + 1 + 1 + 3 + 622 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90989113622401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 527904235 + ... + 528076565.

It is an arithmetic number, because the mean of its divisors is an integer number (337468133730).

Almost surely, 2^{90989113622400} is an apocalyptic number.

90989113622400 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 90989113622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194381645028480).

90989113622400 is an abundant number, since it is smaller than the sum of its proper divisors (297774176434560).

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

90989113622400 is a wasteful number, since it uses less digits than its factorization.

90989113622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172474 (or 172445 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 90989113622400 in words is "ninety trillion, nine hundred eighty-nine billion, one hundred thirteen million, six hundred twenty-two thousand, four hundred".