253916065920 has 256 divisors, whose sum is σ = 883709688960. Its totient is φ = 61501440000.

The previous prime is 253916065913. The next prime is 253916065951. The reversal of 253916065920 is 29560619352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 253916065920.

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 31 ways as a sum of consecutive naturals, for example, 27472500 + ... + 27481740.

Almost surely, 2^253916065920 is an apocalyptic number.

253916065920 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 253916065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441854844480).

253916065920 is an abundant number, since it is smaller than the sum of its proper divisors (629793623040).

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

253916065920 is a wasteful number, since it uses less digits than its factorization.

253916065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575 (or 10563 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 253916065920 in words is "two hundred fifty-three billion, nine hundred sixteen million, sixty-five thousand, nine hundred twenty".