16911199872 has 384 divisors, whose sum is σ = 59651640000. Its totient is φ = 4699441152.

The previous prime is 16911199847. The next prime is 16911199933. The reversal of 16911199872 is 27899111961.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16911199872² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6264379 + ... + 6267077.

Almost surely, 2^16911199872 is an apocalyptic number.

16911199872 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 16911199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29825820000).

16911199872 is an abundant number, since it is smaller than the sum of its proper divisors (42740440128).

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

16911199872 is a wasteful number, since it uses less digits than its factorization.

16911199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2748 counting only the distinct ones).

The product of its digits is 489888, while the sum is 54.

The spelling of 16911199872 in words is "sixteen billion, nine hundred eleven million, one hundred ninety-nine thousand, eight hundred seventy-two".