252640821600 has 432 divisors, whose sum is σ = 945665098560. Its totient is φ = 63247564800.

The previous prime is 252640821571. The next prime is 252640821623. The reversal of 252640821600 is 6128046252.

It is a happy number.

252640821600 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 40 + 8 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52752006 + ... + 52756794.

It is an arithmetic number, because the mean of its divisors is an integer number (2189039580).

Almost surely, 2^252640821600 is an apocalyptic number.

252640821600 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 252640821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472832549280).

252640821600 is an abundant number, since it is smaller than the sum of its proper divisors (693024276960).

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

252640821600 is a wasteful number, since it uses less digits than its factorization.

252640821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 252640821600 its reverse (6128046252), we get a palindrome (258768867852).

The spelling of 252640821600 in words is "two hundred fifty-two billion, six hundred forty million, eight hundred twenty-one thousand, six hundred".