16975990886400 has 4992 divisors, whose sum is σ = 83952376704000. Its totient is φ = 3371056496640.

The previous prime is 16975990886381. The next prime is 16975990886453. The reversal of 16975990886400 is 468809957961.

16975990886400 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 59 + 90 + 8 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

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 383 ways as a sum of consecutive naturals, for example, 998587699192 + ... + 998587699208.

Almost surely, 2^{16975990886400} is an apocalyptic number.

16975990886400 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 16975990886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976188352000).

16975990886400 is an abundant number, since it is smaller than the sum of its proper divisors (66976385817600).

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

16975990886400 is an frugal number, since it uses more digits than its factorization.

16975990886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 16975990886400 in words is "sixteen trillion, nine hundred seventy-five billion, nine hundred ninety million, eight hundred eighty-six thousand, four hundred".