252753372400 has 120 divisors (see below), whose sum is σ = 623665551600. Its totient is φ = 98379417600.

The previous prime is 252753372397. The next prime is 252753372401. The reversal of 252753372400 is 4273357252.

252753372400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252753372401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6359791 + ... + 6399409.

It is an arithmetic number, because the mean of its divisors is an integer number (5197212930).

Almost surely, 2^252753372400 is an apocalyptic number.

252753372400 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 252753372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311832775800).

252753372400 is an abundant number, since it is smaller than the sum of its proper divisors (370912179200).

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

252753372400 is a wasteful number, since it uses less digits than its factorization.

252753372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40067 (or 40056 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 40.

The spelling of 252753372400 in words is "two hundred fifty-two billion, seven hundred fifty-three million, three hundred seventy-two thousand, four hundred".