22408874012520 has 512 divisors, whose sum is σ = 79738677849600. Its totient is φ = 5578260480000.

The previous prime is 22408874012489. The next prime is 22408874012521. The reversal of 22408874012520 is 2521047880422.

22408874012520 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 8 + 87 + 40 + 1 + 2 + 520 = 666.

It is a super-3 number, since 3×22408874012520³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22408874012521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1110604672 + ... + 1110624848.

It is an arithmetic number, because the mean of its divisors is an integer number (155739605175).

Almost surely, 2^{22408874012520} is an apocalyptic number.

22408874012520 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 22408874012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39869338924800).

22408874012520 is an abundant number, since it is smaller than the sum of its proper divisors (57329803837080).

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

22408874012520 is a wasteful number, since it uses less digits than its factorization.

22408874012520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20706 (or 20696 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 22408874012520 in words is "twenty-two trillion, four hundred eight billion, eight hundred seventy-four million, twelve thousand, five hundred twenty".