253257431511168 has 480 divisors, whose sum is σ = 876954234182400. Its totient is φ = 72341704350720.

The previous prime is 253257431511163. The next prime is 253257431511197. The reversal of 253257431511168 is 861115134752352.

253257431511168 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 574 + 3 + 1 + 5 + 1 + 1 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (253257431511163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2169746313 + ... + 2169863031.

It is an arithmetic number, because the mean of its divisors is an integer number (1826987987880).

Almost surely, 2^{253257431511168} is an apocalyptic number.

253257431511168 is a gapful number since it is divisible by the number (28) 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 253257431511168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438477117091200).

253257431511168 is an abundant number, since it is smaller than the sum of its proper divisors (623696802671232).

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

253257431511168 is a wasteful number, since it uses less digits than its factorization.

253257431511168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121030 (or 121002 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 253257431511168 in words is "two hundred fifty-three trillion, two hundred fifty-seven billion, four hundred thirty-one million, five hundred eleven thousand, one hundred sixty-eight".