252222043680 has 72 divisors (see below), whose sum is σ = 860707728972. Its totient is φ = 67259211264.

The previous prime is 252222043673. The next prime is 252222043681. The reversal of 252222043680 is 86340222252.

252222043680 is a `hidden beast` number, since 2 + 522 + 2 + 20 + 4 + 36 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247800857616 + 4421186064 = 497796^2 + 66492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (252222043681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87575659 + ... + 87578538.

Almost surely, 2^252222043680 is an apocalyptic number.

252222043680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252222043680 is an abundant number, since it is smaller than the sum of its proper divisors (608485685292).

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

252222043680 is a wasteful number, since it uses less digits than its factorization.

252222043680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175154218 (or 175154207 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 252222043680 in words is "two hundred fifty-two billion, two hundred twenty-two million, forty-three thousand, six hundred eighty".