16688431872 has 432 divisors, whose sum is σ = 58773012480. Its totient is φ = 4451328000.

The previous prime is 16688431853. The next prime is 16688431897. The reversal of 16688431872 is 27813488661.

16688431872 is a `hidden beast` number, since 1 + 66 + 88 + 431 + 8 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 14498497 + ... + 14499647.

It is an arithmetic number, because the mean of its divisors is an integer number (136048640).

Almost surely, 2^16688431872 is an apocalyptic number.

16688431872 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 16688431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29386506240).

16688431872 is an abundant number, since it is smaller than the sum of its proper divisors (42084580608).

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

16688431872 is a wasteful number, since it uses less digits than its factorization.

16688431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1223 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 16688431872 in words is "sixteen billion, six hundred eighty-eight million, four hundred thirty-one thousand, eight hundred seventy-two".