16980956899200 has 5760 divisors, whose sum is σ = 82906486502400. Its totient is φ = 3394466611200.

The previous prime is 16980956899189. The next prime is 16980956899391. The reversal of 16980956899200 is 299865908961.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 287812828771 + ... + 287812828829.

It is an arithmetic number, because the mean of its divisors is an integer number (14393487240).

Almost surely, 2^{16980956899200} is an apocalyptic number.

16980956899200 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 16980956899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41453243251200).

16980956899200 is an abundant number, since it is smaller than the sum of its proper divisors (65925529603200).

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

16980956899200 is a wasteful number, since it uses less digits than its factorization.

16980956899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 16980956899200 in words is "sixteen trillion, nine hundred eighty billion, nine hundred fifty-six million, eight hundred ninety-nine thousand, two hundred".