13931288280 has 512 divisors, whose sum is σ = 57496320000. Its totient is φ = 2921785344.

The previous prime is 13931288269. The next prime is 13931288291. The reversal of 13931288280 is 8288213931.

It is a happy number.

13931288280 is a `hidden beast` number, since 1 + 3 + 93 + 1 + 288 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (13931288269) and next prime (13931288291).

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 127 ways as a sum of consecutive naturals, for example, 22505811 + ... + 22506429.

It is an arithmetic number, because the mean of its divisors is an integer number (112297500).

Almost surely, 2^13931288280 is an apocalyptic number.

13931288280 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 13931288280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748160000).

13931288280 is an abundant number, since it is smaller than the sum of its proper divisors (43565031720).

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

13931288280 is a wasteful number, since it uses less digits than its factorization.

13931288280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 13931288280 in words is "thirteen billion, nine hundred thirty-one million, two hundred eighty-eight thousand, two hundred eighty".