13819932720 has 800 divisors, whose sum is σ = 57514176000. Its totient is φ = 3035957760.

The previous prime is 13819932713. The next prime is 13819932761. The reversal of 13819932720 is 2723991831.

13819932720 is a `hidden beast` number, since 138 + 199 + 327 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 600866629 + ... + 600866651.

It is an arithmetic number, because the mean of its divisors is an integer number (71892720).

Almost surely, 2^13819932720 is an apocalyptic number.

13819932720 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 13819932720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28757088000).

13819932720 is an abundant number, since it is smaller than the sum of its proper divisors (43694243280).

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

13819932720 is a wasteful number, since it uses less digits than its factorization.

13819932720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13819932720 in words is "thirteen billion, eight hundred nineteen million, nine hundred thirty-two thousand, seven hundred twenty".