13765875552 has 288 divisors, whose sum is σ = 46305211680. Its totient is φ = 3824271360.

The previous prime is 13765875547. The next prime is 13765875559. The reversal of 13765875552 is 25557856731.

13765875552 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 5 + 87 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13765875559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6464824 + ... + 6466952.

It is an arithmetic number, because the mean of its divisors is an integer number (160781985).

Almost surely, 2^13765875552 is an apocalyptic number.

13765875552 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 13765875552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23152605840).

13765875552 is an abundant number, since it is smaller than the sum of its proper divisors (32539336128).

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

13765875552 is a wasteful number, since it uses less digits than its factorization.

13765875552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2315 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 13765875552 in words is "thirteen billion, seven hundred sixty-five million, eight hundred seventy-five thousand, five hundred fifty-two".