16393605120 has 416 divisors, whose sum is σ = 60862406400. Its totient is φ = 4178313216.

The previous prime is 16393605113. The next prime is 16393605149. The reversal of 16393605120 is 2150639361.

16393605120 is a `hidden beast` number, since 1 + 6 + 39 + 3 + 605 + 12 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 12717436 + ... + 12718724.

Almost surely, 2^16393605120 is an apocalyptic number.

16393605120 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 16393605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431203200).

16393605120 is an abundant number, since it is smaller than the sum of its proper divisors (44468801280).

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

16393605120 is a wasteful number, since it uses less digits than its factorization.

16393605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 16393605120 in words is "sixteen billion, three hundred ninety-three million, six hundred five thousand, one hundred twenty".