90022136400 has 600 divisors, whose sum is σ = 381997038720. Its totient is φ = 19865502720.

The previous prime is 90022136387. The next prime is 90022136419. The reversal of 90022136400 is 463122009.

90022136400 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 2 + 13 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 6570357 + ... + 6584043.

Almost surely, 2^90022136400 is an apocalyptic number.

90022136400 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 90022136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190998519360).

90022136400 is an abundant number, since it is smaller than the sum of its proper divisors (291974902320).

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

90022136400 is a wasteful number, since it uses less digits than its factorization.

90022136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 90022136400 its reverse (463122009), we get a palindrome (90485258409).

The spelling of 90022136400 in words is "ninety billion, twenty-two million, one hundred thirty-six thousand, four hundred".