253315405200 has 480 divisors, whose sum is σ = 954932630400. Its totient is φ = 56589926400.

The previous prime is 253315405199. The next prime is 253315405207. The reversal of 253315405200 is 2504513352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253315405207) 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, 163534026 + ... + 163535574.

It is an arithmetic number, because the mean of its divisors is an integer number (1989442980).

Almost surely, 2^253315405200 is an apocalyptic number.

253315405200 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 253315405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477466315200).

253315405200 is an abundant number, since it is smaller than the sum of its proper divisors (701617225200).

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

253315405200 is a wasteful number, since it uses less digits than its factorization.

253315405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 253315405200 its reverse (2504513352), we get a palindrome (255819918552).

The spelling of 253315405200 in words is "two hundred fifty-three billion, three hundred fifteen million, four hundred five thousand, two hundred".