16978399027200 has 2688 divisors, whose sum is σ = 73172716646400. Its totient is φ = 3822059520000.

The previous prime is 16978399027199. The next prime is 16978399027201. The reversal of 16978399027200 is 272099387961.

16978399027200 is a `hidden beast` number, since 16 + 9 + 7 + 8 + 399 + 0 + 27 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (16978399027199) and next prime (16978399027201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16978399027201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42340147000 + ... + 42340147400.

It is an arithmetic number, because the mean of its divisors is an integer number (27221992800).

Almost surely, 2^{16978399027200} is an apocalyptic number.

16978399027200 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 16978399027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36586358323200).

16978399027200 is an abundant number, since it is smaller than the sum of its proper divisors (56194317619200).

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

16978399027200 is a wasteful number, since it uses less digits than its factorization.

16978399027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 16978399027200 in words is "sixteen trillion, nine hundred seventy-eight billion, three hundred ninety-nine million, twenty-seven thousand, two hundred".