22153686160 has 40 divisors (see below), whose sum is σ = 51963158520. Its totient is φ = 8783050752.

The previous prime is 22153686151. The next prime is 22153686161. The reversal of 22153686160 is 6168635122.

It can be written as a sum of positive squares in 4 ways, for example, as 40806544 + 22112879616 = 6388^2 + 148704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (22153686161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216275 + ... + 1234354.

It is an arithmetic number, because the mean of its divisors is an integer number (1299078963).

Almost surely, 2^22153686160 is an apocalyptic number.

22153686160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22153686160 is an abundant number, since it is smaller than the sum of its proper divisors (29809472360).

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

22153686160 is a wasteful number, since it uses less digits than its factorization.

22153686160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450755 (or 2450749 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 22153686160 in words is "twenty-two billion, one hundred fifty-three million, six hundred eighty-six thousand, one hundred sixty".