13966552320 has 432 divisors, whose sum is σ = 52288790400. Its totient is φ = 3167797248.

The previous prime is 13966552307. The next prime is 13966552333. The reversal of 13966552320 is 2325566931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13966552307) and next prime (13966552333).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37443654 + ... + 37444026.

Almost surely, 2^13966552320 is an apocalyptic number.

13966552320 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 13966552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144395200).

13966552320 is an abundant number, since it is smaller than the sum of its proper divisors (38322238080).

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

13966552320 is a wasteful number, since it uses less digits than its factorization.

13966552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 13966552320 in words is "thirteen billion, nine hundred sixty-six million, five hundred fifty-two thousand, three hundred twenty".