165932078256 has 400 divisors, whose sum is σ = 562469952000. Its totient is φ = 47205825408.

The previous prime is 165932078243. The next prime is 165932078311. The reversal of 165932078256 is 652870239561.

165932078256 is a `hidden beast` number, since 1 + 6 + 593 + 20 + 7 + 8 + 25 + 6 = 666.

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

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, 125800765 + ... + 125802083.

It is an arithmetic number, because the mean of its divisors is an integer number (1406174880).

Almost surely, 2^165932078256 is an apocalyptic number.

165932078256 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 165932078256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281234976000).

165932078256 is an abundant number, since it is smaller than the sum of its proper divisors (396537873744).

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

165932078256 is a wasteful number, since it uses less digits than its factorization.

165932078256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 165932078256 in words is "one hundred sixty-five billion, nine hundred thirty-two million, seventy-eight thousand, two hundred fifty-six".