22215252007872 has 2016 divisors, whose sum is σ = 87922016931840. Its totient is φ = 5229055180800.

The previous prime is 22215252007757. The next prime is 22215252007889. The reversal of 22215252007872 is 27870025251222.

22215252007872 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 52 + 520 + 0 + 7 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27873590578 + ... + 27873591374.

Almost surely, 2^{22215252007872} is an apocalyptic number.

22215252007872 is a gapful number since it is divisible by the number (22) 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 22215252007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43961008465920).

22215252007872 is an abundant number, since it is smaller than the sum of its proper divisors (65706764923968).

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

22215252007872 is a wasteful number, since it uses less digits than its factorization.

22215252007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 22215252007872 in words is "twenty-two trillion, two hundred fifteen billion, two hundred fifty-two million, seven thousand, eight hundred seventy-two".