13306115077920 has 1536 divisors, whose sum is σ = 54863693660160. Its totient is φ = 2949674434560.

The previous prime is 13306115077907. The next prime is 13306115077921. The reversal of 13306115077920 is 2977051160331.

13306115077920 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 611 + 5 + 0 + 7 + 7 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13306115077921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67543731262 + ... + 67543731458.

It is an arithmetic number, because the mean of its divisors is an integer number (35718550560).

Almost surely, 2^{13306115077920} is an apocalyptic number.

13306115077920 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 13306115077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27431846830080).

13306115077920 is an abundant number, since it is smaller than the sum of its proper divisors (41557578582240).

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

13306115077920 is a wasteful number, since it uses less digits than its factorization.

13306115077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 13306115077920 in words is "thirteen trillion, three hundred six billion, one hundred fifteen million, seventy-seven thousand, nine hundred twenty".