13269864960 has 640 divisors, whose sum is σ = 53173739520. Its totient is φ = 3107635200.

The previous prime is 13269864943. The next prime is 13269864977. The reversal of 13269864960 is 6946896231.

13269864960 is a `hidden beast` number, since 13 + 2 + 69 + 86 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13269864943) and next prime (13269864977).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 13269864897 and 13269864906.

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, 23569639 + ... + 23570201.

It is an arithmetic number, because the mean of its divisors is an integer number (83083968).

Almost surely, 2^13269864960 is an apocalyptic number.

13269864960 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 13269864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26586869760).

13269864960 is an abundant number, since it is smaller than the sum of its proper divisors (39903874560).

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

13269864960 is a wasteful number, since it uses less digits than its factorization.

13269864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13269864960 in words is "thirteen billion, two hundred sixty-nine million, eight hundred sixty-four thousand, nine hundred sixty".