13709140058880 has 864 divisors, whose sum is σ = 57147938684928. Its totient is φ = 2967891148800.

The previous prime is 13709140058857. The next prime is 13709140058881. The reversal of 13709140058880 is 8885004190731.

13709140058880 is a `hidden beast` number, since 1 + 3 + 70 + 91 + 400 + 5 + 8 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (13709140058881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117434140 + ... + 117550820.

It is an arithmetic number, because the mean of its divisors is an integer number (66143447552).

Almost surely, 2^{13709140058880} is an apocalyptic number.

13709140058880 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 13709140058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573969342464).

13709140058880 is an abundant number, since it is smaller than the sum of its proper divisors (43438798626048).

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

13709140058880 is a wasteful number, since it uses less digits than its factorization.

13709140058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116793 (or 116776 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 13709140058880 in words is "thirteen trillion, seven hundred nine billion, one hundred forty million, fifty-eight thousand, eight hundred eighty".