16690934688000 has 2304 divisors, whose sum is σ = 62483058892800. Its totient is φ = 3936092160000.

The previous prime is 16690934687951. The next prime is 16690934688019. The reversal of 16690934688000 is 88643909661.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 187538591956 + ... + 187538592044.

It is an arithmetic number, because the mean of its divisors is an integer number (27119383200).

Almost surely, 2^{16690934688000} is an apocalyptic number.

16690934688000 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 16690934688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31241529446400).

16690934688000 is an abundant number, since it is smaller than the sum of its proper divisors (45792124204800).

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

16690934688000 is a wasteful number, since it uses less digits than its factorization.

16690934688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 16690934688000 in words is "sixteen trillion, six hundred ninety billion, nine hundred thirty-four million, six hundred eighty-eight thousand".