13085340036720 has 320 divisors, whose sum is σ = 48757891866624. Its totient is φ = 2839840174080.

The previous prime is 13085340036719. The next prime is 13085340036733. The reversal of 13085340036720 is 2763004358031.

It is a super-2 number, since 2×13085340036720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 389914 + ... + 5130566.

Almost surely, 2^{13085340036720} is an apocalyptic number.

13085340036720 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 13085340036720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24378945933312).

13085340036720 is an abundant number, since it is smaller than the sum of its proper divisors (35672551829904).

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

13085340036720 is a wasteful number, since it uses less digits than its factorization.

13085340036720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740760 (or 4740754 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13085340036720 in words is "thirteen trillion, eighty-five billion, three hundred forty million, thirty-six thousand, seven hundred twenty".