22152161491200 has 1512 divisors, whose sum is σ = 89101987399488. Its totient is φ = 5420188016640.

The previous prime is 22152161491147. The next prime is 22152161491211. The reversal of 22152161491200 is 219416125122.

22152161491200 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 161 + 491 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 132647673517 + ... + 132647673683.

Almost surely, 2^{22152161491200} is an apocalyptic number.

22152161491200 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 22152161491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44550993699744).

22152161491200 is an abundant number, since it is smaller than the sum of its proper divisors (66949825908288).

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

22152161491200 is an frugal number, since it uses more digits than its factorization.

22152161491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 22152161491200 in words is "twenty-two trillion, one hundred fifty-two billion, one hundred sixty-one million, four hundred ninety-one thousand, two hundred".