253031454720 has 480 divisors, whose sum is σ = 989428199760. Its totient is φ = 61338746880.

The previous prime is 253031454673. The next prime is 253031454763. The reversal of 253031454720 is 27454130352.

253031454720 is a `hidden beast` number, since 2 + 530 + 3 + 1 + 4 + 54 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9109974 + ... + 9137706.

Almost surely, 2^253031454720 is an apocalyptic number.

253031454720 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 253031454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494714099880).

253031454720 is an abundant number, since it is smaller than the sum of its proper divisors (736396745040).

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

253031454720 is a wasteful number, since it uses less digits than its factorization.

253031454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27783 (or 27754 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 253031454720 in words is "two hundred fifty-three billion, thirty-one million, four hundred fifty-four thousand, seven hundred twenty".