13480357803678 has 192 divisors, whose sum is σ = 30569223484800. Its totient is φ = 4289253212160.

The previous prime is 13480357803659. The next prime is 13480357803707. The reversal of 13480357803678 is 87630875308431.

13480357803678 is a `hidden beast` number, since 1 + 3 + 480 + 3 + 5 + 7 + 80 + 3 + 6 + 78 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14145180850 + ... + 14145181802.

It is an arithmetic number, because the mean of its divisors is an integer number (159214705650).

Almost surely, 2^{13480357803678} is an apocalyptic number.

13480357803678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13480357803678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284611742400).

13480357803678 is an abundant number, since it is smaller than the sum of its proper divisors (17088865681122).

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

13480357803678 is a wasteful number, since it uses less digits than its factorization.

13480357803678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 13480357803678 in words is "thirteen trillion, four hundred eighty billion, three hundred fifty-seven million, eight hundred three thousand, six hundred seventy-eight".