253451594880 has 1152 divisors, whose sum is σ = 1020393279360. Its totient is φ = 57808650240.

The previous prime is 253451594873. The next prime is 253451594953. The reversal of 253451594880 is 88495154352.

253451594880 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 5 + 159 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1554917679 + ... + 1554917841.

It is an arithmetic number, because the mean of its divisors is an integer number (885758055).

Almost surely, 2^253451594880 is an apocalyptic number.

253451594880 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 253451594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510196639680).

253451594880 is an abundant number, since it is smaller than the sum of its proper divisors (766941684480).

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

253451594880 is a wasteful number, since it uses less digits than its factorization.

253451594880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 253451594880 in words is "two hundred fifty-three billion, four hundred fifty-one million, five hundred ninety-four thousand, eight hundred eighty".