253080141405696 has 720 divisors, whose sum is σ = 829425277384704. Its totient is φ = 74155834368000.

The previous prime is 253080141405673. The next prime is 253080141405719. The reversal of 253080141405696 is 696504141080352.

253080141405696 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 8 + 0 + 141 + 405 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (253080141405673) and next prime (253080141405719).

It is a super-2 number, since 2×253080141405696² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23628053781 + ... + 23628064491.

Almost surely, 2^{253080141405696} 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 253080141405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414712638692352).

253080141405696 is an abundant number, since it is smaller than the sum of its proper divisors (576345135979008).

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

253080141405696 is a wasteful number, since it uses less digits than its factorization.

253080141405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12155 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 253080141405696 in words is "two hundred fifty-three trillion, eighty billion, one hundred forty-one million, four hundred five thousand, six hundred ninety-six".