16877973162240 has 2016 divisors, whose sum is σ = 69923505052800. Its totient is φ = 3872701808640.

The previous prime is 16877973162173. The next prime is 16877973162251. The reversal of 16877973162240 is 4226137977861.

16877973162240 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 7 + 97 + 316 + 224 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 8740534075 + ... + 8740536005.

It is an arithmetic number, because the mean of its divisors is an integer number (34684278300).

Almost surely, 2^{16877973162240} is an apocalyptic number.

16877973162240 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 16877973162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34961752526400).

16877973162240 is an abundant number, since it is smaller than the sum of its proper divisors (53045531890560).

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

16877973162240 is a wasteful number, since it uses less digits than its factorization.

16877973162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 16877973162240 in words is "sixteen trillion, eight hundred seventy-seven billion, nine hundred seventy-three million, one hundred sixty-two thousand, two hundred forty".