22186985879520 has 3072 divisors, whose sum is σ = 102563056189440. Its totient is φ = 4400593920000.

The previous prime is 22186985879507. The next prime is 22186985879521. The reversal of 22186985879520 is 2597858968122.

22186985879520 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 6 + 98 + 5 + 8 + 7 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22186985879521) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 84361162909 + ... + 84361163171.

It is an arithmetic number, because the mean of its divisors is an integer number (33386411520).

Almost surely, 2^{22186985879520} is an apocalyptic number.

22186985879520 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 22186985879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51281528094720).

22186985879520 is an abundant number, since it is smaller than the sum of its proper divisors (80376070309920).

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

22186985879520 is a wasteful number, since it uses less digits than its factorization.

22186985879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 22186985879520 in words is "twenty-two trillion, one hundred eighty-six billion, nine hundred eighty-five million, eight hundred seventy-nine thousand, five hundred twenty".