16972806600 has 144 divisors (see below), whose sum is σ = 57781616100. Its totient is φ = 4464046080.

The previous prime is 16972806589. The next prime is 16972806727. The reversal of 16972806600 is 660827961.

16972806600 is a `hidden beast` number, since 16 + 9 + 7 + 28 + 0 + 6 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2934822276 + 14037984324 = 54174^2 + 118482^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66816 + ... + 195984.

Almost surely, 2^16972806600 is an apocalyptic number.

16972806600 is a gapful number since it is divisible by the number (10) 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 16972806600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28890808050).

16972806600 is an abundant number, since it is smaller than the sum of its proper divisors (40808809500).

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

16972806600 is a wasteful number, since it uses less digits than its factorization.

16972806600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129264 (or 129252 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16972806600 in words is "sixteen billion, nine hundred seventy-two million, eight hundred six thousand, six hundred".