16309930628880 has 1440 divisors, whose sum is σ = 69496685856000. Its totient is φ = 3416901304320.

The previous prime is 16309930628869. The next prime is 16309930628933. The reversal of 16309930628880 is 8882603990361.

16309930628880 is a `hidden beast` number, since 16 + 30 + 9 + 9 + 306 + 288 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4509240832 + ... + 4509244448.

It is an arithmetic number, because the mean of its divisors is an integer number (48261587400).

Almost surely, 2^{16309930628880} is an apocalyptic number.

16309930628880 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 16309930628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34748342928000).

16309930628880 is an abundant number, since it is smaller than the sum of its proper divisors (53186755227120).

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

16309930628880 is a wasteful number, since it uses less digits than its factorization.

16309930628880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 16309930628880 in words is "sixteen trillion, three hundred nine billion, nine hundred thirty million, six hundred twenty-eight thousand, eight hundred eighty".