13752791304 has 128 divisors (see below), whose sum is σ = 41055344640. Its totient is φ = 3753649152.

The previous prime is 13752791287. The next prime is 13752791369. The reversal of 13752791304 is 40319725731.

13752791304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3773307 + ... + 3776949.

It is an arithmetic number, because the mean of its divisors is an integer number (320744880).

Almost surely, 2^13752791304 is an apocalyptic number.

13752791304 is a gapful number since it is divisible by the number (14) 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 13752791304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527672320).

13752791304 is an abundant number, since it is smaller than the sum of its proper divisors (27302553336).

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

13752791304 is a wasteful number, since it uses less digits than its factorization.

13752791304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 13752791304 in words is "thirteen billion, seven hundred fifty-two million, seven hundred ninety-one thousand, three hundred four".