13875888600 has 432 divisors, whose sum is σ = 55841794200. Its totient is φ = 3157781760.

The previous prime is 13875888589. The next prime is 13875888617. The reversal of 13875888600 is 688857831.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60593286 + ... + 60593514.

Almost surely, 2^13875888600 is an apocalyptic number.

13875888600 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 13875888600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27920897100).

13875888600 is an abundant number, since it is smaller than the sum of its proper divisors (41965905600).

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

13875888600 is a wasteful number, since it uses less digits than its factorization.

13875888600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

Multiplying 13875888600 by its sum of digits (54), we get a square (749297984400 = 865620²).

13875888600 divided by its sum of digits (54) gives a square (256960900 = 16030²).

The spelling of 13875888600 in words is "thirteen billion, eight hundred seventy-five million, eight hundred eighty-eight thousand, six hundred".