16872172462080 has 336 divisors, whose sum is σ = 62985617178120. Its totient is φ = 4153148964864.

The previous prime is 16872172462063. The next prime is 16872172462081. The reversal of 16872172462080 is 8026427127861.

16872172462080 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 2 + 1 + 7 + 2 + 4 + 620 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11221320830976 + 5650851631104 = 3349824^2 + 2377152^2 .

It is not an unprimeable number, because it can be changed into a prime (16872172462081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031986 + ... + 6552654.

Almost surely, 2^{16872172462080} is an apocalyptic number.

16872172462080 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 16872172462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31492808589060).

16872172462080 is an abundant number, since it is smaller than the sum of its proper divisors (46113444716040).

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

16872172462080 is a wasteful number, since it uses less digits than its factorization.

16872172462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520719 (or 3520692 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 16872172462080 in words is "sixteen trillion, eight hundred seventy-two billion, one hundred seventy-two million, four hundred sixty-two thousand, eighty".