13375507400 has 192 divisors, whose sum is σ = 33739804800. Its totient is φ = 4917749760.

The previous prime is 13375507399. The next prime is 13375507427. The reversal of 13375507400 is 470557331.

13375507400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 15147359 + ... + 15148241.

It is an arithmetic number, because the mean of its divisors is an integer number (175728150).

Almost surely, 2^13375507400 is an apocalyptic number.

13375507400 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 13375507400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869902400).

13375507400 is an abundant number, since it is smaller than the sum of its proper divisors (20364297400).

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

13375507400 is a wasteful number, since it uses less digits than its factorization.

13375507400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 13375507400 in words is "thirteen billion, three hundred seventy-five million, five hundred seven thousand, four hundred".