22185864267840 has 1512 divisors, whose sum is σ = 97757960114880. Its totient is φ = 4601343172608.

The previous prime is 22185864267829. The next prime is 22185864267859. The reversal of 22185864267840 is 4876246858122.

It is a happy number.

22185864267840 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 586 + 4 + 2 + 6 + 7 + 8 + 40 = 666.

It is a super-2 number, since 2×22185864267840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1407099637 + ... + 1407115403.

Almost surely, 2^{22185864267840} is an apocalyptic number.

22185864267840 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 22185864267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48878980057440).

22185864267840 is an abundant number, since it is smaller than the sum of its proper divisors (75572095847040).

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

22185864267840 is a wasteful number, since it uses less digits than its factorization.

22185864267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889 (or 15856 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 22185864267840 in words is "twenty-two trillion, one hundred eighty-five billion, eight hundred sixty-four million, two hundred sixty-seven thousand, eight hundred forty".