16480765699200 has 3840 divisors, whose sum is σ = 73130485063680. Its totient is φ = 3643149312000.

The previous prime is 16480765699187. The next prime is 16480765699213. The reversal of 16480765699200 is 299656708461.

16480765699200 is a `hidden beast` number, since 1 + 6 + 48 + 0 + 7 + 6 + 569 + 9 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16480765699187) and next prime (16480765699213).

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 479 ways as a sum of consecutive naturals, for example, 245981577567 + ... + 245981577633.

It is an arithmetic number, because the mean of its divisors is an integer number (19044397152).

Almost surely, 2^{16480765699200} is an apocalyptic number.

16480765699200 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 16480765699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36565242531840).

16480765699200 is an abundant number, since it is smaller than the sum of its proper divisors (56649719364480).

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

16480765699200 is a wasteful number, since it uses less digits than its factorization.

16480765699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 16480765699200 in words is "sixteen trillion, four hundred eighty billion, seven hundred sixty-five million, six hundred ninety-nine thousand, two hundred".