53601369615360 has 2816 divisors, whose sum is σ = 239816453345280. Its totient is φ = 11073780449280.

The previous prime is 53601369615289. The next prime is 53601369615371. The reversal of 53601369615360 is 6351696310635.

53601369615360 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 13 + 6 + 9 + 615 + 3 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 53601369615297 and 53601369615306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50519669230 + ... + 50519670290.

Almost surely, 2^{53601369615360} 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 53601369615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119908226672640).

53601369615360 is an abundant number, since it is smaller than the sum of its proper divisors (186215083729920).

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

53601369615360 is a wasteful number, since it uses less digits than its factorization.

53601369615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 53601369615360 in words is "fifty-three trillion, six hundred one billion, three hundred sixty-nine million, six hundred fifteen thousand, three hundred sixty".