13709865600000 has 1188 divisors, whose sum is σ = 51459677690148. Its totient is φ = 3650365440000.

The previous prime is 13709865599981. The next prime is 13709865600017. The reversal of 13709865600000 is 656890731.

It is a happy number.

13709865600000 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 9 + 86 + 560 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12591483208704 + 1118382391296 = 3548448^2 + 1057536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20995199674 + ... + 20995200326.

Almost surely, 2^{13709865600000} is an apocalyptic number.

13709865600000 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 13709865600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25729838845074).

13709865600000 is an abundant number, since it is smaller than the sum of its proper divisors (37749812090148).

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

13709865600000 is an frugal number, since it uses more digits than its factorization.

13709865600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13709865600000 in words is "thirteen trillion, seven hundred nine billion, eight hundred sixty-five million, six hundred thousand".