13790638890 has 288 divisors, whose sum is σ = 43142561280. Its totient is φ = 3045143808.

The previous prime is 13790638861. The next prime is 13790638891. The reversal of 13790638890 is 9883609731.

It is not an unprimeable number, because it can be changed into a prime (13790638891) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36386721 + ... + 36387099.

It is an arithmetic number, because the mean of its divisors is an integer number (149800560).

Almost surely, 2^13790638890 is an apocalyptic number.

13790638890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13790638890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21571280640).

13790638890 is an abundant number, since it is smaller than the sum of its proper divisors (29351922390).

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

13790638890 is a wasteful number, since it uses less digits than its factorization.

13790638890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13790638890 in words is "thirteen billion, seven hundred ninety million, six hundred thirty-eight thousand, eight hundred ninety".