13725648400 has 60 divisors (see below), whose sum is σ = 33160266000. Its totient is φ = 5459559040.

The previous prime is 13725648397. The next prime is 13725648401. The reversal of 13725648400 is 484652731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13725648401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24250 + ... + 167449.

It is an arithmetic number, because the mean of its divisors is an integer number (552671100).

Almost surely, 2^13725648400 is an apocalyptic number.

13725648400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13725648400 is an abundant number, since it is smaller than the sum of its proper divisors (19434617600).

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

13725648400 is a wasteful number, since it uses less digits than its factorization.

13725648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191896 (or 191885 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 13725648400 in words is "thirteen billion, seven hundred twenty-five million, six hundred forty-eight thousand, four hundred".