16930420312320 has 2880 divisors, whose sum is σ = 69291874713600. Its totient is φ = 3927882792960.

The previous prime is 16930420312259. The next prime is 16930420312363. The reversal of 16930420312320 is 2321302403961.

16930420312320 is a `hidden beast` number, since 1 + 6 + 9 + 304 + 2 + 0 + 312 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 133310396097 + ... + 133310396223.

It is an arithmetic number, because the mean of its divisors is an integer number (24059678720).

Almost surely, 2^{16930420312320} is an apocalyptic number.

16930420312320 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 16930420312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645937356800).

16930420312320 is an abundant number, since it is smaller than the sum of its proper divisors (52361454401280).

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

16930420312320 is a wasteful number, since it uses less digits than its factorization.

16930420312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 16930420312320 in words is "sixteen trillion, nine hundred thirty billion, four hundred twenty million, three hundred twelve thousand, three hundred twenty".