13715896320 has 768 divisors, whose sum is σ = 58810752000. Its totient is φ = 2962096128.

The previous prime is 13715896309. The next prime is 13715896331. The reversal of 13715896320 is 2369851731.

13715896320 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 5 + 8 + 9 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13715896309) and next prime (13715896331).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771654 + ... + 36772026.

It is an arithmetic number, because the mean of its divisors is an integer number (76576500).

Almost surely, 2^13715896320 is an apocalyptic number.

13715896320 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 13715896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405376000).

13715896320 is an abundant number, since it is smaller than the sum of its proper divisors (45094855680).

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

13715896320 is a wasteful number, since it uses less digits than its factorization.

13715896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13715896320 in words is "thirteen billion, seven hundred fifteen million, eight hundred ninety-six thousand, three hundred twenty".