13786740000 has 720 divisors, whose sum is σ = 55493111520. Its totient is φ = 3326400000.

The previous prime is 13786739987. The next prime is 13786740029. The reversal of 13786740000 is 4768731.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65339895 + ... + 65340105.

It is an arithmetic number, because the mean of its divisors is an integer number (77073766).

Almost surely, 2^13786740000 is an apocalyptic number.

13786740000 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 13786740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27746555760).

13786740000 is an abundant number, since it is smaller than the sum of its proper divisors (41706371520).

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

13786740000 is a wasteful number, since it uses less digits than its factorization.

13786740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13786740000 in words is "thirteen billion, seven hundred eighty-six million, seven hundred forty thousand".