165933121536 has 768 divisors, whose sum is σ = 614498102400. Its totient is φ = 43571478528.

The previous prime is 165933121513. The next prime is 165933121573. The reversal of 165933121536 is 635121339561.

165933121536 is a `hidden beast` number, since 1 + 6 + 5 + 93 + 3 + 1 + 21 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 165933121491 and 165933121500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724598670 + ... + 724598898.

Almost surely, 2^165933121536 is an apocalyptic number.

165933121536 is a gapful number since it is divisible by the number (16) 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 165933121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307249051200).

165933121536 is an abundant number, since it is smaller than the sum of its proper divisors (448564980864).

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

165933121536 is an frugal number, since it uses more digits than its factorization.

165933121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 254 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 165933121536 in words is "one hundred sixty-five billion, nine hundred thirty-three million, one hundred twenty-one thousand, five hundred thirty-six".