53033689064160 has 3072 divisors, whose sum is σ = 242761215836160. Its totient is φ = 10533596037120.

The previous prime is 53033689064089. The next prime is 53033689064203. The reversal of 53033689064160 is 6146098633035.

53033689064160 is a `hidden beast` number, since 5 + 3 + 0 + 336 + 8 + 90 + 64 + 160 = 666.

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 = 53033689064097 and 53033689064106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 31251436432 + ... + 31251438128.

It is an arithmetic number, because the mean of its divisors is an integer number (79023833280).

Almost surely, 2^{53033689064160} 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 53033689064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121380607918080).

53033689064160 is an abundant number, since it is smaller than the sum of its proper divisors (189727526772000).

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

53033689064160 is a wasteful number, since it uses less digits than its factorization.

53033689064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 53033689064160 in words is "fifty-three trillion, thirty-three billion, six hundred eighty-nine million, sixty-four thousand, one hundred sixty".