22000260956400 has 180 divisors, whose sum is σ = 76493562603120. Its totient is φ = 5855475225600.

The previous prime is 22000260956371. The next prime is 22000260956441. The reversal of 22000260956400 is 465906200022.

22000260956400 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 2 + 6 + 0 + 9 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×22000260956400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3989260 + ... + 7740459.

It is an arithmetic number, because the mean of its divisors is an integer number (424964236684).

Almost surely, 2^{22000260956400} is an apocalyptic number.

22000260956400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000260956400 is an abundant number, since it is smaller than the sum of its proper divisors (54493301646720).

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

22000260956400 is a wasteful number, since it uses less digits than its factorization.

22000260956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11730264 (or 11730250 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22000260956400 in words is "twenty-two trillion, two hundred sixty million, nine hundred fifty-six thousand, four hundred".