253788437468160 has 2816 divisors, whose sum is σ = 1097607746027520. Its totient is φ = 54361152552960.

The previous prime is 253788437468143. The next prime is 253788437468179. The reversal of 253788437468160 is 61864734887352.

253788437468160 is a `hidden beast` number, since 2 + 5 + 3 + 78 + 8 + 4 + 37 + 468 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 294076983889 + ... + 294076984751.

Almost surely, 2^{253788437468160} is an apocalyptic number.

253788437468160 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 253788437468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548803873013760).

253788437468160 is an abundant number, since it is smaller than the sum of its proper divisors (843819308559360).

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

253788437468160 is a wasteful number, since it uses less digits than its factorization.

253788437468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 253788437468160 in words is "two hundred fifty-three trillion, seven hundred eighty-eight billion, four hundred thirty-seven million, four hundred sixty-eight thousand, one hundred sixty".