13880885258240 has 768 divisors, whose sum is σ = 45074875023360. Its totient is φ = 3961883197440.

The previous prime is 13880885258209. The next prime is 13880885258243. The reversal of 13880885258240 is 4285258808831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13880885258243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301775149 + ... + 1301785811.

It is an arithmetic number, because the mean of its divisors is an integer number (58691243520).

Almost surely, 2^{13880885258240} is an apocalyptic number.

13880885258240 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 13880885258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537437511680).

13880885258240 is an abundant number, since it is smaller than the sum of its proper divisors (31193989765120).

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

13880885258240 is a wasteful number, since it uses less digits than its factorization.

13880885258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 62.

The spelling of 13880885258240 in words is "thirteen trillion, eight hundred eighty billion, eight hundred eighty-five million, two hundred fifty-eight thousand, two hundred forty".