23090054400 has 1134 divisors, whose sum is σ = 100664834382. Its totient is φ = 5225472000.

The previous prime is 23090054333. The next prime is 23090054423. The reversal of 23090054400 is 445009032.

23090054400 is a `hidden beast` number, since 2 + 30 + 90 + 0 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6181733376 + 16908321024 = 78624^2 + 130032^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is a super-2 number, since 2×23090054400² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 228614350 + ... + 228614450.

Almost surely, 2^23090054400 is an apocalyptic number.

23090054400 is a gapful number since it is divisible by the number (20) 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 23090054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50332417191).

23090054400 is an abundant number, since it is smaller than the sum of its proper divisors (77574779982).

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

23090054400 is an equidigital number, since it uses as much as digits as its factorization.

23090054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 23090054400 in words is "twenty-three billion, ninety million, fifty-four thousand, four hundred".