53366536128 has 224 divisors, whose sum is σ = 147457972800. Its totient is φ = 17022320640.

The previous prime is 53366536127. The next prime is 53366536133. The reversal of 53366536128 is 82163566335.

53366536128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53366536128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53366536127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92489376 + ... + 92489952.

Almost surely, 2^53366536128 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 53366536128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73728986400).

53366536128 is an abundant number, since it is smaller than the sum of its proper divisors (94091436672).

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

53366536128 is a wasteful number, since it uses less digits than its factorization.

53366536128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 48.

The spelling of 53366536128 in words is "fifty-three billion, three hundred sixty-six million, five hundred thirty-six thousand, one hundred twenty-eight".