252153202400 has 144 divisors (see below), whose sum is σ = 671927650128. Its totient is φ = 91637760000.

The previous prime is 252153202381. The next prime is 252153202403. The reversal of 252153202400 is 4202351252.

It is a self number, because there is not a number n which added to its sum of digits gives 252153202400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252153202403) 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, 16721264 + ... + 16736336.

It is an arithmetic number, because the mean of its divisors is an integer number (4666164237).

Almost surely, 2^252153202400 is an apocalyptic number.

252153202400 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 252153202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335963825064).

252153202400 is an abundant number, since it is smaller than the sum of its proper divisors (419774447728).

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

252153202400 is a wasteful number, since it uses less digits than its factorization.

252153202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17005 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 252153202400 its reverse (4202351252), we get a palindrome (256355553652).

The spelling of 252153202400 in words is "two hundred fifty-two billion, one hundred fifty-three million, two hundred two thousand, four hundred".