165162799872 has 1152 divisors, whose sum is σ = 623662663680. Its totient is φ = 42568187904.

The previous prime is 165162799847. The next prime is 165162799897. The reversal of 165162799872 is 278997261561.

165162799872 is a `hidden beast` number, since 1 + 6 + 516 + 27 + 9 + 98 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (165162799847) and next prime (165162799897).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2465116383 + ... + 2465116449.

It is an arithmetic number, because the mean of its divisors is an integer number (541373840).

Almost surely, 2^165162799872 is an apocalyptic number.

165162799872 is a gapful number since it is divisible by the number (12) 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 165162799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311831331840).

165162799872 is an abundant number, since it is smaller than the sum of its proper divisors (458499863808).

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

165162799872 is an frugal number, since it uses more digits than its factorization.

165162799872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 165162799872 in words is "one hundred sixty-five billion, one hundred sixty-two million, seven hundred ninety-nine thousand, eight hundred seventy-two".