13788250752 has 128 divisors (see below), whose sum is σ = 38611814400. Its totient is φ = 4347509760.

The previous prime is 13788250727. The next prime is 13788250757. The reversal of 13788250752 is 25705288731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13788250757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7229383 + ... + 7231289.

It is an arithmetic number, because the mean of its divisors is an integer number (301654800).

Almost surely, 2^13788250752 is an apocalyptic number.

13788250752 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 13788250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305907200).

13788250752 is an abundant number, since it is smaller than the sum of its proper divisors (24823563648).

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

13788250752 is a wasteful number, since it uses less digits than its factorization.

13788250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 13788250752 in words is "thirteen billion, seven hundred eighty-eight million, two hundred fifty thousand, seven hundred fifty-two".