165153683160 has 320 divisors, whose sum is σ = 581201913600. Its totient is φ = 41983121664.

The previous prime is 165153683153. The next prime is 165153683179. The reversal of 165153683160 is 61386351561.

165153683160 is a `hidden beast` number, since 1 + 6 + 51 + 536 + 8 + 3 + 1 + 60 = 666.

It is a super-2 number, since 2×165153683160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22874031 + ... + 22881249.

It is an arithmetic number, because the mean of its divisors is an integer number (1816255980).

Almost surely, 2^165153683160 is an apocalyptic number.

165153683160 is a gapful number since it is divisible by the number (10) 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 165153683160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290600956800).

165153683160 is an abundant number, since it is smaller than the sum of its proper divisors (416048230440).

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

165153683160 is a wasteful number, since it uses less digits than its factorization.

165153683160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 165153683160 in words is "one hundred sixty-five billion, one hundred fifty-three million, six hundred eighty-three thousand, one hundred sixty".