253985952168 has 96 divisors (see below), whose sum is σ = 741508185600. Its totient is φ = 78074008704.

The previous prime is 253985952139. The next prime is 253985952191. The reversal of 253985952168 is 861259589352.

253985952168 is a `hidden beast` number, since 2 + 5 + 39 + 8 + 595 + 2 + 1 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841921 + ... + 1103087.

It is an arithmetic number, because the mean of its divisors is an integer number (7724043600).

Almost surely, 2^253985952168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253985952168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370754092800).

253985952168 is an abundant number, since it is smaller than the sum of its proper divisors (487522233432).

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

253985952168 is a wasteful number, since it uses less digits than its factorization.

253985952168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262231 (or 262224 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 253985952168 in words is "two hundred fifty-three billion, nine hundred eighty-five million, nine hundred fifty-two thousand, one hundred sixty-eight".