16405198272 has 336 divisors, whose sum is σ = 52256131200. Its totient is φ = 5087370240.

The previous prime is 16405198261. The next prime is 16405198289. The reversal of 16405198272 is 27289150461.

16405198272 is a `hidden beast` number, since 1 + 64 + 0 + 519 + 8 + 2 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17433322 + ... + 17434262.

It is an arithmetic number, because the mean of its divisors is an integer number (155524200).

Almost surely, 2^16405198272 is an apocalyptic number.

16405198272 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 16405198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26128065600).

16405198272 is an abundant number, since it is smaller than the sum of its proper divisors (35850932928).

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

16405198272 is an equidigital number, since it uses as much as digits as its factorization.

16405198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16405198272 in words is "sixteen billion, four hundred five million, one hundred ninety-eight thousand, two hundred seventy-two".