53105727396960 has 720 divisors, whose sum is σ = 218365136811360. Its totient is φ = 12119123681280.

The previous prime is 53105727396949. The next prime is 53105727396977. The reversal of 53105727396960 is 6969372750135.

53105727396960 is a `hidden beast` number, since 53 + 1 + 0 + 572 + 7 + 3 + 9 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 400643976 + ... + 400776504.

It is an arithmetic number, because the mean of its divisors is an integer number (303284912238).

Almost surely, 2^{53105727396960} 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 53105727396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109182568405680).

53105727396960 is an abundant number, since it is smaller than the sum of its proper divisors (165259409414400).

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

53105727396960 is a wasteful number, since it uses less digits than its factorization.

53105727396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133201 (or 133177 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 53105727396960 in words is "fifty-three trillion, one hundred five billion, seven hundred twenty-seven million, three hundred ninety-six thousand, nine hundred sixty".