253609574400 has 1836 divisors, whose sum is σ = 1180246120872. Its totient is φ = 53508833280.

The previous prime is 253609574371. The next prime is 253609574447. The reversal of 253609574400 is 4475906352.

253609574400 is a `hidden beast` number, since 2 + 5 + 36 + 0 + 9 + 574 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19508428794 + ... + 19508428806.

Almost surely, 2^253609574400 is an apocalyptic number.

253609574400 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 253609574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590123060436).

253609574400 is an abundant number, since it is smaller than the sum of its proper divisors (926636546472).

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

253609574400 is an frugal number, since it uses more digits than its factorization.

253609574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 253609574400 in words is "two hundred fifty-three billion, six hundred nine million, five hundred seventy-four thousand, four hundred".