165252057984 has 640 divisors, whose sum is σ = 562217594400. Its totient is φ = 47763800064.

The previous prime is 165252057961. The next prime is 165252058007. The reversal of 165252057984 is 489750252561.

165252057984 is a `hidden beast` number, since 1 + 6 + 525 + 20 + 5 + 7 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (165252057961) and next prime (165252058007).

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

It is a self number, because there is not a number n which added to its sum of digits gives 165252057984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 443034822 + ... + 443035194.

Almost surely, 2^165252057984 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 165252057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281108797200).

165252057984 is an abundant number, since it is smaller than the sum of its proper divisors (396965536416).

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

165252057984 is a wasteful number, since it uses less digits than its factorization.

165252057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 165252057984 in words is "one hundred sixty-five billion, two hundred fifty-two million, fifty-seven thousand, nine hundred eighty-four".