13930321680 has 800 divisors, whose sum is σ = 57168840960. Its totient is φ = 3108188160.

The previous prime is 13930321627. The next prime is 13930321723. The reversal of 13930321680 is 8612303931.

13930321680 is a `hidden beast` number, since 139 + 303 + 216 + 8 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47543614 + ... + 47543906.

Almost surely, 2^13930321680 is an apocalyptic number.

13930321680 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 13930321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28584420480).

13930321680 is an abundant number, since it is smaller than the sum of its proper divisors (43238519280).

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

13930321680 is a wasteful number, since it uses less digits than its factorization.

13930321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13930321680 in words is "thirteen billion, nine hundred thirty million, three hundred twenty-one thousand, six hundred eighty".