253034572800 has 264 divisors, whose sum is σ = 844598455632. Its totient is φ = 66805760000.

The previous prime is 253034572799. The next prime is 253034572831. The reversal of 253034572800 is 8275430352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7740490 + ... + 7773110.

Almost surely, 2^253034572800 is an apocalyptic number.

253034572800 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 253034572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422299227816).

253034572800 is an abundant number, since it is smaller than the sum of its proper divisors (591563882832).

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

253034572800 is a wasteful number, since it uses less digits than its factorization.

253034572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32755 (or 32732 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 253034572800 in words is "two hundred fifty-three billion, thirty-four million, five hundred seventy-two thousand, eight hundred".