13963397760 has 512 divisors, whose sum is σ = 54184032000. Its totient is φ = 3377479680.

The previous prime is 13963397719. The next prime is 13963397801. The reversal of 13963397760 is 6779336931.

13963397760 is a `hidden beast` number, since 139 + 63 + 397 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (13963397719) and next prime (13963397801).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13963397697 and 13963397706.

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, 13702531 + ... + 13703549.

Almost surely, 2^13963397760 is an apocalyptic number.

13963397760 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 13963397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27092016000).

13963397760 is an abundant number, since it is smaller than the sum of its proper divisors (40220634240).

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

13963397760 is a wasteful number, since it uses less digits than its factorization.

13963397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 13963397760 in words is "thirteen billion, nine hundred sixty-three million, three hundred ninety-seven thousand, seven hundred sixty".