22152816000 has 384 divisors, whose sum is σ = 90925623360. Its totient is φ = 5063270400.

The previous prime is 22152815989. The next prime is 22152816043. The reversal of 22152816000 is 61825122.

It is a happy number.

22152816000 is a `hidden beast` number, since 2 + 2 + 1 + 52 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997012 + ... + 1018988.

Almost surely, 2^22152816000 is an apocalyptic number.

22152816000 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 22152816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45462811680).

22152816000 is an abundant number, since it is smaller than the sum of its proper divisors (68772807360).

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

22152816000 is a wasteful number, since it uses less digits than its factorization.

22152816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22019 (or 21994 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 22152816000 in words is "twenty-two billion, one hundred fifty-two million, eight hundred sixteen thousand".