16872299136 has 1024 divisors, whose sum is σ = 67682304000. Its totient is φ = 4006195200.

The previous prime is 16872299069. The next prime is 16872299141. The reversal of 16872299136 is 63199227861.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 237637981 + ... + 237638051.

It is an arithmetic number, because the mean of its divisors is an integer number (66096000).

Almost surely, 2^16872299136 is an apocalyptic number.

16872299136 is a gapful number since it is divisible by the number (16) 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 16872299136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841152000).

16872299136 is an abundant number, since it is smaller than the sum of its proper divisors (50810004864).

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

16872299136 is a wasteful number, since it uses less digits than its factorization.

16872299136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 16872299136 in words is "sixteen billion, eight hundred seventy-two million, two hundred ninety-nine thousand, one hundred thirty-six".