16990927718400 has 576 divisors, whose sum is σ = 65695560840000. Its totient is φ = 4292438261760.

The previous prime is 16990927718333. The next prime is 16990927718417. The reversal of 16990927718400 is 481772909961.

16990927718400 is a `hidden beast` number, since 1 + 69 + 9 + 0 + 92 + 77 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25942156 + ... + 26589044.

It is an arithmetic number, because the mean of its divisors is an integer number (114054793125).

Almost surely, 2^{16990927718400} is an apocalyptic number.

16990927718400 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 16990927718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32847780420000).

16990927718400 is an abundant number, since it is smaller than the sum of its proper divisors (48704633121600).

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

16990927718400 is a wasteful number, since it uses less digits than its factorization.

16990927718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646949 (or 646918 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 16990927718400 in words is "sixteen trillion, nine hundred ninety billion, nine hundred twenty-seven million, seven hundred eighteen thousand, four hundred".