253631632320 has 560 divisors, whose sum is σ = 1036055433600. Its totient is φ = 58249082880.

The previous prime is 253631632283. The next prime is 253631632333. The reversal of 253631632320 is 23236136352.

253631632320 is a `hidden beast` number, since 2 + 5 + 363 + 1 + 63 + 232 + 0 = 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 79 ways as a sum of consecutive naturals, for example, 5393871 + ... + 5440689.

Almost surely, 2^253631632320 is an apocalyptic number.

253631632320 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 253631632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518027716800).

253631632320 is an abundant number, since it is smaller than the sum of its proper divisors (782423801280).

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

253631632320 is a wasteful number, since it uses less digits than its factorization.

253631632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46878 (or 46859 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 253631632320 its reverse (23236136352), we get a palindrome (276867768672).

The spelling of 253631632320 in words is "two hundred fifty-three billion, six hundred thirty-one million, six hundred thirty-two thousand, three hundred twenty".