16972497884160 has 4224 divisors, whose sum is σ = 80729173324800. Its totient is φ = 3262849744896.

The previous prime is 16972497884131. The next prime is 16972497884161. The reversal of 16972497884160 is 6148879427961.

16972497884160 is a `hidden beast` number, since 1 + 6 + 9 + 72 + 497 + 8 + 8 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16972497884161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150199096264 + ... + 150199096376.

It is an arithmetic number, because the mean of its divisors is an integer number (19112020200).

Almost surely, 2^{16972497884160} is an apocalyptic number.

16972497884160 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 16972497884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40364586662400).

16972497884160 is an abundant number, since it is smaller than the sum of its proper divisors (63756675440640).

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

16972497884160 is a wasteful number, since it uses less digits than its factorization.

16972497884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 16972497884160 in words is "sixteen trillion, nine hundred seventy-two billion, four hundred ninety-seven million, eight hundred eighty-four thousand, one hundred sixty".