252623437600 has 144 divisors (see below), whose sum is σ = 652769470080. Its totient is φ = 95201049600.

The previous prime is 252623437589. The next prime is 252623437603. The reversal of 252623437600 is 6734326252.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (252623437603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2705289 + ... + 2797111.

It is an arithmetic number, because the mean of its divisors is an integer number (4533121320).

Almost surely, 2^252623437600 is an apocalyptic number.

252623437600 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 252623437600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326384735040).

252623437600 is an abundant number, since it is smaller than the sum of its proper divisors (400146032480).

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

252623437600 is a wasteful number, since it uses less digits than its factorization.

252623437600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92043 (or 92030 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The spelling of 252623437600 in words is "two hundred fifty-two billion, six hundred twenty-three million, four hundred thirty-seven thousand, six hundred".