252060151200 has 576 divisors, whose sum is σ = 971649810432. Its totient is φ = 55951257600.

The previous prime is 252060151163. The next prime is 252060151201. The reversal of 252060151200 is 2151060252.

It is a happy number.

It is a super-2 number, since 2×252060151200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (252060151201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43583509 + ... + 43589291.

It is an arithmetic number, because the mean of its divisors is an integer number (1686892032).

Almost surely, 2^252060151200 is an apocalyptic number.

252060151200 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 252060151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485824905216).

252060151200 is an abundant number, since it is smaller than the sum of its proper divisors (719589659232).

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

252060151200 is a wasteful number, since it uses less digits than its factorization.

252060151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 252060151200 in words is "two hundred fifty-two billion, sixty million, one hundred fifty-one thousand, two hundred".