16992205790400 has 1008 divisors, whose sum is σ = 63541375279200. Its totient is φ = 4465904025600.

The previous prime is 16992205790341. The next prime is 16992205790437. The reversal of 16992205790400 is 409750229961.

16992205790400 is a `hidden beast` number, since 1 + 6 + 9 + 9 + 2 + 20 + 579 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7936573330 + ... + 7936575470.

It is an arithmetic number, because the mean of its divisors is an integer number (63037078650).

Almost surely, 2^{16992205790400} is an apocalyptic number.

16992205790400 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 16992205790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31770687639600).

16992205790400 is an abundant number, since it is smaller than the sum of its proper divisors (46549169488800).

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

16992205790400 is a wasteful number, since it uses less digits than its factorization.

16992205790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 16992205790400 in words is "sixteen trillion, nine hundred ninety-two billion, two hundred five million, seven hundred ninety thousand, four hundred".