16380607392000 has 432 divisors, whose sum is σ = 60054376073328. Its totient is φ = 4285739827200.

The previous prime is 16380607391977. The next prime is 16380607392043. The reversal of 16380607392000 is 29370608361.

16380607392000 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 0 + 607 + 39 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9693707894784 + 6686899497216 = 3113472^2 + 2585904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14727424 + ... + 15800576.

It is an arithmetic number, because the mean of its divisors is an integer number (139014759429).

Almost surely, 2^{16380607392000} is an apocalyptic number.

16380607392000 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 16380607392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30027188036664).

16380607392000 is an abundant number, since it is smaller than the sum of its proper divisors (43673768681328).

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

16380607392000 is a wasteful number, since it uses less digits than its factorization.

16380607392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073243 (or 1073216 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16380607392000 in words is "sixteen trillion, three hundred eighty billion, six hundred seven million, three hundred ninety-two thousand".