13900248000 has 560 divisors, whose sum is σ = 54177895200. Its totient is φ = 3508531200.

The previous prime is 13900247987. The next prime is 13900248001. The reversal of 13900248000 is 84200931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900248001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12311436 + ... + 12312564.

Almost surely, 2^13900248000 is an apocalyptic number.

13900248000 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 13900248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27088947600).

13900248000 is an abundant number, since it is smaller than the sum of its proper divisors (40277647200).

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

13900248000 is a wasteful number, since it uses less digits than its factorization.

13900248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13900248000 its reverse (84200931), we get a palindrome (13984448931).

The spelling of 13900248000 in words is "thirteen billion, nine hundred million, two hundred forty-eight thousand".