13988257400 has 96 divisors (see below), whose sum is σ = 35056610400. Its totient is φ = 5160153600.

The previous prime is 13988257363. The next prime is 13988257447. The reversal of 13988257400 is 475288931.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4212941 + ... + 4216259.

It is an arithmetic number, because the mean of its divisors is an integer number (365173025).

Almost surely, 2^13988257400 is an apocalyptic number.

13988257400 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 13988257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528305200).

13988257400 is an abundant number, since it is smaller than the sum of its proper divisors (21068353000).

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

13988257400 is a wasteful number, since it uses less digits than its factorization.

13988257400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 13988257400 in words is "thirteen billion, nine hundred eighty-eight million, two hundred fifty-seven thousand, four hundred".