13495080271680 has 784 divisors, whose sum is σ = 57961876740480. Its totient is φ = 2922236227584.

The previous prime is 13495080271633. The next prime is 13495080271681. The reversal of 13495080271680 is 8617208059431.

13495080271680 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 508 + 0 + 2 + 71 + 68 + 0 = 666.

It is a super-2 number, since 2×13495080271680² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13495080271681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30808762 + ... + 31243718.

It is a 1-persistent number, because it is pandigital, but 2⋅13495080271680 = 26990160543360 is not.

Almost surely, 2^{13495080271680} is an apocalyptic number.

13495080271680 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 13495080271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28980938370240).

13495080271680 is an abundant number, since it is smaller than the sum of its proper divisors (44466796468800).

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

13495080271680 is an equidigital number, since it uses as much as digits as its factorization.

13495080271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435018 (or 434993 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 13495080271680 in words is "thirteen trillion, four hundred ninety-five billion, eighty million, two hundred seventy-one thousand, six hundred eighty".