16971482880 has 720 divisors, whose sum is σ = 69234891264. Its totient is φ = 3929333760.

The previous prime is 16971482867. The next prime is 16971482897. The reversal of 16971482880 is 8828417961.

16971482880 is a `hidden beast` number, since 16 + 9 + 71 + 482 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×16971482880² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26230717 + ... + 26231363.

Almost surely, 2^16971482880 is an apocalyptic number.

16971482880 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 16971482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617445632).

16971482880 is an abundant number, since it is smaller than the sum of its proper divisors (52263408384).

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

16971482880 is a wasteful number, since it uses less digits than its factorization.

16971482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 16971482880 in words is "sixteen billion, nine hundred seventy-one million, four hundred eighty-two thousand, eight hundred eighty".