13706880000 has 660 divisors, whose sum is σ = 51030727440. Its totient is φ = 3266560000.

The previous prime is 13706879971. The next prime is 13706880013. The reversal of 13706880000 is 8860731.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 232319971 + ... + 232320029.

It is an arithmetic number, because the mean of its divisors is an integer number (77319284).

Almost surely, 2^13706880000 is an apocalyptic number.

13706880000 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 13706880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25515363720).

13706880000 is an abundant number, since it is smaller than the sum of its proper divisors (37323847440).

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

13706880000 is an equidigital number, since it uses as much as digits as its factorization.

13706880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 13706880000 in words is "thirteen billion, seven hundred six million, eight hundred eighty thousand".