253888099920 has 1280 divisors, whose sum is σ = 1137527193600. Its totient is φ = 50582568960.

The previous prime is 253888099877. The next prime is 253888099951. The reversal of 253888099920 is 29990888352.

253888099920 is a `hidden beast` number, since 2 + 5 + 388 + 80 + 99 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 402358005 + ... + 402358635.

It is an arithmetic number, because the mean of its divisors is an integer number (888693120).

Almost surely, 2^253888099920 is an apocalyptic number.

253888099920 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 253888099920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568763596800).

253888099920 is an abundant number, since it is smaller than the sum of its proper divisors (883639093680).

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

253888099920 is a wasteful number, since it uses less digits than its factorization.

253888099920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 253888099920 in words is "two hundred fifty-three billion, eight hundred eighty-eight million, ninety-nine thousand, nine hundred twenty".