253267660800 has 1872 divisors, whose sum is σ = 1171238035968. Its totient is φ = 50783846400.

The previous prime is 253267660783. The next prime is 253267660801. The reversal of 253267660800 is 8066762352.

It is a happy number.

253267660800 is a `hidden beast` number, since 2 + 5 + 32 + 6 + 7 + 6 + 608 + 0 + 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 not an unprimeable number, because it can be changed into a prime (253267660801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3051417559 + ... + 3051417641.

It is an arithmetic number, because the mean of its divisors is an integer number (625661344).

Almost surely, 2^253267660800 is an apocalyptic number.

253267660800 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 253267660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585619017984).

253267660800 is an abundant number, since it is smaller than the sum of its proper divisors (917970375168).

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

253267660800 is a wasteful number, since it uses less digits than its factorization.

253267660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 253267660800 in words is "two hundred fifty-three billion, two hundred sixty-seven million, six hundred sixty thousand, eight hundred".