16162588960 has 192 divisors, whose sum is σ = 44281036800. Its totient is φ = 5460618240.

The previous prime is 16162588951. The next prime is 16162588961. The reversal of 16162588960 is 6988526161.

It is a super-2 number, since 2×16162588960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16162588898 and 16162588907.

It is not an unprimeable number, because it can be changed into a prime (16162588961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28305475 + ... + 28306045.

It is an arithmetic number, because the mean of its divisors is an integer number (230630400).

Almost surely, 2^16162588960 is an apocalyptic number.

16162588960 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 16162588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22140518400).

16162588960 is an abundant number, since it is smaller than the sum of its proper divisors (28118447840).

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

16162588960 is a wasteful number, since it uses less digits than its factorization.

16162588960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 16162588960 in words is "sixteen billion, one hundred sixty-two million, five hundred eighty-eight thousand, nine hundred sixty".