16004431872 has 720 divisors, whose sum is σ = 58571667840. Its totient is φ = 4282122240.

The previous prime is 16004431841. The next prime is 16004431897. The reversal of 16004431872 is 27813440061.

16004431872 is a `hidden beast` number, since 1 + 600 + 4 + 43 + 1 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×16004431872² (a number of 21 digits) contains 22 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695844853 + ... + 695844875.

Almost surely, 2^16004431872 is an apocalyptic number.

16004431872 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 16004431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29285833920).

16004431872 is an abundant number, since it is smaller than the sum of its proper divisors (42567235968).

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

16004431872 is a wasteful number, since it uses less digits than its factorization.

16004431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16004431872 in words is "sixteen billion, four million, four hundred thirty-one thousand, eight hundred seventy-two".