13765625000 has 80 divisors (see below), whose sum is σ = 32299801380. Its totient is φ = 5500000000.

The previous prime is 13765624997. The next prime is 13765625011. The reversal of 13765625000 is 52656731.

13765625000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 6473489764 + 7292135236 = 80458^2 + 85394^2 .

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 19 ways as a sum of consecutive naturals, for example, 15624560 + ... + 15625440.

Almost surely, 2^13765625000 is an apocalyptic number.

13765625000 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 13765625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149900690).

13765625000 is an abundant number, since it is smaller than the sum of its proper divisors (18534176380).

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

13765625000 is an frugal number, since it uses more digits than its factorization.

13765625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 13765625000 in words is "thirteen billion, seven hundred sixty-five million, six hundred twenty-five thousand".