22127157504 has 135 divisors (see below), whose sum is σ = 66043113213. Its totient is φ = 7368579072.

The previous prime is 22127157487. The next prime is 22127157523. The reversal of 22127157504 is 40575172122.

The square root of 22127157504 is 148752.

It is a perfect power (a square), and thus also a powerful number.

22127157504 is a `hidden beast` number, since 2 + 2 + 12 + 71 + 575 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21362745600 + 764411904 = 146160^2 + 27648^2 .

It is a super-2 number, since 2×22127157504² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21419772 + ... + 21420804.

Almost surely, 2^22127157504 is an apocalyptic number.

22127157504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22127157504 is the 148752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22127157504

22127157504 is an abundant number, since it is smaller than the sum of its proper divisors (43915955709).

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

22127157504 is an frugal number, since it uses more digits than its factorization.

22127157504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Multiplying 22127157504 by its sum of digits (36), we get a square (796577670144 = 892512²).

22127157504 divided by its sum of digits (36) gives a square (614643264 = 24792²).

The spelling of 22127157504 in words is "twenty-two billion, one hundred twenty-seven million, one hundred fifty-seven thousand, five hundred four".