253115685668160 has 1344 divisors, whose sum is σ = 1060481266790400. Its totient is φ = 54092780273664.

The previous prime is 253115685668141. The next prime is 253115685668161. The reversal of 253115685668160 is 61866586511352.

253115685668160 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 1 + 5 + 6 + 8 + 566 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253115685668161) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 37593296154 + ... + 37593302886.

It is an arithmetic number, because the mean of its divisors is an integer number (789048561600).

Almost surely, 2^{253115685668160} is an apocalyptic number.

253115685668160 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 253115685668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530240633395200).

253115685668160 is an abundant number, since it is smaller than the sum of its proper divisors (807365581122240).

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

253115685668160 is a wasteful number, since it uses less digits than its factorization.

253115685668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 253115685668160 in words is "two hundred fifty-three trillion, one hundred fifteen billion, six hundred eighty-five million, six hundred sixty-eight thousand, one hundred sixty".