13286070690816 has 2112 divisors, whose sum is σ = 50560682526720. Its totient is φ = 3003289436160.

The previous prime is 13286070690769. The next prime is 13286070690817. The reversal of 13286070690816 is 61809607068231.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (13286070690817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68839744416 + ... + 68839744608.

Almost surely, 2^{13286070690816} is an apocalyptic number.

13286070690816 is a gapful number since it is divisible by the number (16) 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 13286070690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280341263360).

13286070690816 is an abundant number, since it is smaller than the sum of its proper divisors (37274611835904).

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

13286070690816 is a wasteful number, since it uses less digits than its factorization.

13286070690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 13286070690816 in words is "thirteen trillion, two hundred eighty-six billion, seventy million, six hundred ninety thousand, eight hundred sixteen".