16938694080000 has 5600 divisors, whose sum is σ = 84504258381312. Its totient is φ = 3284582400000.

The previous prime is 16938694079939. The next prime is 16938694080017. The reversal of 16938694080000 is 8049683961.

It is a tau number, because it is divible by the number of its divisors (5600).

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 559 ways as a sum of consecutive naturals, for example, 413138879980 + ... + 413138880020.

Almost surely, 2^{16938694080000} is an apocalyptic number.

16938694080000 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 16938694080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42252129190656).

16938694080000 is an abundant number, since it is smaller than the sum of its proper divisors (67565564301312).

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

16938694080000 is an frugal number, since it uses more digits than its factorization.

16938694080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16938694080000 in words is "sixteen trillion, nine hundred thirty-eight billion, six hundred ninety-four million, eighty thousand".