13285876716 has 192 divisors, whose sum is σ = 40461926400. Its totient is φ = 3691303488.

The previous prime is 13285876631. The next prime is 13285876727. The reversal of 13285876716 is 61767858231.

It is a happy number.

It is a super-2 number, since 2×13285876716² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5932725 + ... + 5934963.

It is an arithmetic number, because the mean of its divisors is an integer number (210739200).

Almost surely, 2^13285876716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13285876716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20230963200).

13285876716 is an abundant number, since it is smaller than the sum of its proper divisors (27176049684).

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

13285876716 is a wasteful number, since it uses less digits than its factorization.

13285876716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2465 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 13285876716 in words is "thirteen billion, two hundred eighty-five million, eight hundred seventy-six thousand, seven hundred sixteen".