16161598080 has 192 divisors, whose sum is σ = 59091201000. Its totient is φ = 4056219648.

The previous prime is 16161598073. The next prime is 16161598109. The reversal of 16161598080 is 8089516161.

It can be written as a sum of positive squares in 4 ways, for example, as 16161528384 + 69696 = 127128^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×16161598080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15396 + ... + 180444.

Almost surely, 2^16161598080 is an apocalyptic number.

16161598080 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 16161598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29545600500).

16161598080 is an abundant number, since it is smaller than the sum of its proper divisors (42929602920).

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

16161598080 is a wasteful number, since it uses less digits than its factorization.

16161598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165091 (or 165076 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 16161598080 in words is "sixteen billion, one hundred sixty-one million, five hundred ninety-eight thousand, eighty".