13334795271720 has 320 divisors, whose sum is σ = 48591365130000. Its totient is φ = 3260380004352.

The previous prime is 13334795271701. The next prime is 13334795271727. The reversal of 13334795271720 is 2717259743331.

13334795271720 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 47 + 9 + 527 + 1 + 72 + 0 = 666.

13334795271720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4671745062084 + 8663050209636 = 2161422^2 + 2943306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13334795271727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5213496 + ... + 7338264.

Almost surely, 2^{13334795271720} is an apocalyptic number.

13334795271720 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 13334795271720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295682565000).

13334795271720 is an abundant number, since it is smaller than the sum of its proper divisors (35256569858280).

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

13334795271720 is a wasteful number, since it uses less digits than its factorization.

13334795271720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124954 (or 2124941 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 13334795271720 in words is "thirteen trillion, three hundred thirty-four billion, seven hundred ninety-five million, two hundred seventy-one thousand, seven hundred twenty".