13988661120 has 480 divisors, whose sum is σ = 58122674280. Its totient is φ = 3196827648.

The previous prime is 13988661107. The next prime is 13988661131. The reversal of 13988661120 is 2116688931.

13988661120 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 8 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2537407 + ... + 2542913.

Almost surely, 2^13988661120 is an apocalyptic number.

13988661120 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 13988661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29061337140).

13988661120 is an abundant number, since it is smaller than the sum of its proper divisors (44134013160).

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

13988661120 is an equidigital number, since it uses as much as digits as its factorization.

13988661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13988661120 in words is "thirteen billion, nine hundred eighty-eight million, six hundred sixty-one thousand, one hundred twenty".