13625849400 has 384 divisors, whose sum is σ = 44986406400. Its totient is φ = 3407616000.

The previous prime is 13625849389. The next prime is 13625849467. The reversal of 13625849400 is 494852631.

13625849400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 132289749 + ... + 132289851.

It is an arithmetic number, because the mean of its divisors is an integer number (117152100).

Almost surely, 2^13625849400 is an apocalyptic number.

13625849400 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 13625849400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22493203200).

13625849400 is an abundant number, since it is smaller than the sum of its proper divisors (31360557000).

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

13625849400 is a wasteful number, since it uses less digits than its factorization.

13625849400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 13625849400 in words is "thirteen billion, six hundred twenty-five million, eight hundred forty-nine thousand, four hundred".