252151201920 has 256 divisors, whose sum is σ = 823609036800. Its totient is φ = 65581953024.

The previous prime is 252151201901. The next prime is 252151202003. The reversal of 252151201920 is 29102151252.

It is a super-2 number, since 2×252151201920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71247511 + ... + 71251049.

It is an arithmetic number, because the mean of its divisors is an integer number (3217222800).

Almost surely, 2^252151201920 is an apocalyptic number.

252151201920 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 252151201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411804518400).

252151201920 is an abundant number, since it is smaller than the sum of its proper divisors (571457834880).

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

252151201920 is a wasteful number, since it uses less digits than its factorization.

252151201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4467 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 252151201920 in words is "two hundred fifty-two billion, one hundred fifty-one million, two hundred one thousand, nine hundred twenty".