22476165120 has 520 divisors, whose sum is σ = 85417910424. Its totient is φ = 5633998848.

The previous prime is 22476165097. The next prime is 22476165139. The reversal of 22476165120 is 2156167422.

It is a happy number.

22476165120 is a `hidden beast` number, since 2 + 2 + 476 + 1 + 65 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4464377856 + 18011787264 = 66816^2 + 134208^2 .

It is a super-2 number, since 2×22476165120² (a number of 22 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 39 ways as a sum of consecutive naturals, for example, 28200562 + ... + 28201358.

Almost surely, 2^22476165120 is an apocalyptic number.

22476165120 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 22476165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42708955212).

22476165120 is an abundant number, since it is smaller than the sum of its proper divisors (62941745304).

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

22476165120 is an equidigital number, since it uses as much as digits as its factorization.

22476165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22476165120 in words is "twenty-two billion, four hundred seventy-six million, one hundred sixty-five thousand, one hundred twenty".