253972348800 has 384 divisors, whose sum is σ = 871725456000. Its totient is φ = 64910254080.

The previous prime is 253972348787. The next prime is 253972348837. The reversal of 253972348800 is 8843279352.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×253972348800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38694319 + ... + 38700881.

It is an arithmetic number, because the mean of its divisors is an integer number (2270118375).

Almost surely, 2^253972348800 is an apocalyptic number.

253972348800 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 253972348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435862728000).

253972348800 is an abundant number, since it is smaller than the sum of its proper divisors (617753107200).

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

253972348800 is a wasteful number, since it uses less digits than its factorization.

253972348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 253972348800 in words is "two hundred fifty-three billion, nine hundred seventy-two million, three hundred forty-eight thousand, eight hundred".