14525500400 has 180 divisors, whose sum is σ = 37792255248. Its totient is φ = 5346539520.

The previous prime is 14525500387. The next prime is 14525500403. The reversal of 14525500400 is 400552541.

14525500400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14525500400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14525500403) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 15020717 + ... + 15021683.

Almost surely, 2^14525500400 is an apocalyptic number.

14525500400 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 14525500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896127624).

14525500400 is an abundant number, since it is smaller than the sum of its proper divisors (23266754848).

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

14525500400 is a wasteful number, since it uses less digits than its factorization.

14525500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The spelling of 14525500400 in words is "fourteen billion, five hundred twenty-five million, five hundred thousand, four hundred".