22609964160000 has 4620 divisors, whose sum is σ = 105178703316192. Its totient is φ = 4828336128000.

The previous prime is 22609964159989. The next prime is 22609964160019. The reversal of 22609964160000 is 6146990622.

22609964160000 is a `hidden beast` number, since 22 + 609 + 9 + 6 + 4 + 16 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×22609964160000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 525813119979 + ... + 525813120021.

Almost surely, 2^{22609964160000} is an apocalyptic number.

22609964160000 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 22609964160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52589351658096).

22609964160000 is an abundant number, since it is smaller than the sum of its proper divisors (82568739156192).

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

22609964160000 is an frugal number, since it uses more digits than its factorization.

22609964160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 22609964160000 in words is "twenty-two trillion, six hundred nine billion, nine hundred sixty-four million, one hundred sixty thousand".