22007977032960 has 864 divisors, whose sum is σ = 81221548262400. Its totient is φ = 5701605064704.

The previous prime is 22007977032959. The next prime is 22007977032989. The reversal of 22007977032960 is 6923077970022.

22007977032960 is a `hidden beast` number, since 220 + 0 + 7 + 97 + 7 + 0 + 329 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 22007977032897 and 22007977032906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12072394609 + ... + 12072396431.

It is an arithmetic number, because the mean of its divisors is an integer number (94006421600).

Almost surely, 2^{22007977032960} is an apocalyptic number.

22007977032960 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 22007977032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40610774131200).

22007977032960 is an abundant number, since it is smaller than the sum of its proper divisors (59213571229440).

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

22007977032960 is a wasteful number, since it uses less digits than its factorization.

22007977032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 22007977032960 in words is "twenty-two trillion, seven billion, nine hundred seventy-seven million, thirty-two thousand, nine hundred sixty".