162150402960 has 1920 divisors, whose sum is σ = 752866099200. Its totient is φ = 31313018880.

The previous prime is 162150402959. The next prime is 162150403021. The reversal of 162150402960 is 69204051261.

162150402960 is a `hidden beast` number, since 1 + 62 + 1 + 504 + 0 + 2 + 96 + 0 = 666.

It is a super-3 number, since 3×162150402960³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 1821914596 + ... + 1821914684.

It is an arithmetic number, because the mean of its divisors is an integer number (392117760).

Almost surely, 2^162150402960 is an apocalyptic number.

162150402960 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 162150402960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376433049600).

162150402960 is an abundant number, since it is smaller than the sum of its proper divisors (590715696240).

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

162150402960 is a wasteful number, since it uses less digits than its factorization.

162150402960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 162150402960 in words is "one hundred sixty-two billion, one hundred fifty million, four hundred two thousand, nine hundred sixty".