21919204765224 has 128 divisors (see below), whose sum is σ = 65592365731200. Its totient is φ = 6742098063360.

The previous prime is 21919204765187. The next prime is 21919204765231. The reversal of 21919204765224 is 42256740291912.

21919204765224 is a `hidden beast` number, since 2 + 1 + 91 + 9 + 20 + 4 + 7 + 6 + 522 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7028872 + ... + 9656264.

It is an arithmetic number, because the mean of its divisors is an integer number (512440357275).

Almost surely, 2^{21919204765224} is an apocalyptic number.

21919204765224 is a gapful number since it is divisible by the number (24) 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 21919204765224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32796182865600).

21919204765224 is an abundant number, since it is smaller than the sum of its proper divisors (43673160965976).

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

21919204765224 is a wasteful number, since it uses less digits than its factorization.

21919204765224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630392 (or 2630382 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21919204765224 in words is "twenty-one trillion, nine hundred nineteen billion, two hundred four million, seven hundred sixty-five thousand, two hundred twenty-four".