16876866240000 has 3200 divisors, whose sum is σ = 71816163471360. Its totient is φ = 3881779200000.

The previous prime is 16876866239993. The next prime is 16876866240049. The reversal of 16876866240000 is 4266867861.

16876866240000 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 6 + 8 + 6 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×16876866240000² (a number of 27 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 319 ways as a sum of consecutive naturals, for example, 128831039935 + ... + 128831040065.

Almost surely, 2^{16876866240000} is an apocalyptic number.

16876866240000 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 16876866240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35908081735680).

16876866240000 is an abundant number, since it is smaller than the sum of its proper divisors (54939297231360).

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

16876866240000 is a wasteful number, since it uses less digits than its factorization.

16876866240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 16876866240000 in words is "sixteen trillion, eight hundred seventy-six billion, eight hundred sixty-six million, two hundred forty thousand".