253203120400 has 120 divisors (see below), whose sum is σ = 644507704224. Its totient is φ = 95263795200.

The previous prime is 253203120377. The next prime is 253203120439. The reversal of 253203120400 is 4021302352.

It is a super-2 number, since 2×253203120400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11705595 + ... + 11727205.

Almost surely, 2^253203120400 is an apocalyptic number.

253203120400 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 253203120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322253852112).

253203120400 is an abundant number, since it is smaller than the sum of its proper divisors (391304583824).

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

253203120400 is a wasteful number, since it uses less digits than its factorization.

253203120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23369 (or 23358 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 253203120400 its reverse (4021302352), we get a palindrome (257224422752).

The spelling of 253203120400 in words is "two hundred fifty-three billion, two hundred three million, one hundred twenty thousand, four hundred".