252676636800 has 768 divisors, whose sum is σ = 980794725120. Its totient is φ = 55974297600.

The previous prime is 252676636769. The next prime is 252676636801. The reversal of 252676636800 is 8636676252.

It is a super-2 number, since 2×252676636800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252676636801) 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, 807273444 + ... + 807273756.

It is an arithmetic number, because the mean of its divisors is an integer number (1277076465).

Almost surely, 2^252676636800 is an apocalyptic number.

252676636800 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 252676636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490397362560).

252676636800 is an abundant number, since it is smaller than the sum of its proper divisors (728118088320).

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

252676636800 is a wasteful number, since it uses less digits than its factorization.

252676636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 252676636800 in words is "two hundred fifty-two billion, six hundred seventy-six million, six hundred thirty-six thousand, eight hundred".