13765966272 has 168 divisors, whose sum is σ = 39976574352. Its totient is φ = 4528742400.

The previous prime is 13765966271. The next prime is 13765966283. The reversal of 13765966272 is 27266956731.

13765966272 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 5 + 9 + 6 + 627 + 2 = 666.

Its product of digits (5715360) is a multiple of the sum of its prime divisors (1134).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765966271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18184518 + ... + 18185274.

Almost surely, 2^13765966272 is an apocalyptic number.

13765966272 is a gapful number since it is divisible by the number (12) 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 13765966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988287176).

13765966272 is an abundant number, since it is smaller than the sum of its proper divisors (26210608080).

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

13765966272 is a wasteful number, since it uses less digits than its factorization.

13765966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 13765966272 in words is "thirteen billion, seven hundred sixty-five million, nine hundred sixty-six thousand, two hundred seventy-two".