13480102095768 has 768 divisors, whose sum is σ = 52610400460800. Its totient is φ = 3121913456640.

The previous prime is 13480102095763. The next prime is 13480102095773. The reversal of 13480102095768 is 86759020108431.

13480102095768 is a `hidden beast` number, since 1 + 3 + 48 + 0 + 1 + 0 + 20 + 9 + 576 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13480102095763) and next prime (13480102095773).

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 (13480102095763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48209821 + ... + 48488627.

It is an arithmetic number, because the mean of its divisors is an integer number (68503125600).

It is a 1-persistent number, because it is pandigital, but 2⋅13480102095768 = 26960204191536 is not.

Almost surely, 2^{13480102095768} is an apocalyptic number.

13480102095768 is a gapful number since it is divisible by the number (18) 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 13480102095768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26305200230400).

13480102095768 is an abundant number, since it is smaller than the sum of its proper divisors (39130298365032).

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

13480102095768 is a wasteful number, since it uses less digits than its factorization.

13480102095768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278882 (or 278866 counting only the distinct ones).

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

The spelling of 13480102095768 in words is "thirteen trillion, four hundred eighty billion, one hundred two million, ninety-five thousand, seven hundred sixty-eight".