53314129586168 has 384 divisors, whose sum is σ = 116573029977600. Its totient is φ = 22808962176000.

The previous prime is 53314129586153. The next prime is 53314129586273. The reversal of 53314129586168 is 86168592141335.

It is a self number, because there is not a number n which added to its sum of digits gives 53314129586168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108582748403 + ... + 108582748893.

It is an arithmetic number, because the mean of its divisors is an integer number (303575598900).

Almost surely, 2^{53314129586168} is an apocalyptic number.

53314129586168 is a gapful number since it is divisible by the number (58) 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 53314129586168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58286514988800).

53314129586168 is an abundant number, since it is smaller than the sum of its proper divisors (63258900391432).

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

53314129586168 is a wasteful number, since it uses less digits than its factorization.

53314129586168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1108 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 62.

The spelling of 53314129586168 in words is "fifty-three trillion, three hundred fourteen billion, one hundred twenty-nine million, five hundred eighty-six thousand, one hundred sixty-eight".