13087380683520 has 3456 divisors, whose sum is σ = 58826642853888. Its totient is φ = 2637221068800.

The previous prime is 13087380683431. The next prime is 13087380683543. The reversal of 13087380683520 is 2538608378031.

13087380683520 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 7 + 38 + 0 + 6 + 83 + 520 = 666.

It is a super-3 number, since 3×13087380683520³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 80290678959 + ... + 80290679121.

It is an arithmetic number, because the mean of its divisors is an integer number (17021598048).

Almost surely, 2^{13087380683520} is an apocalyptic number.

13087380683520 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 13087380683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29413321426944).

13087380683520 is an abundant number, since it is smaller than the sum of its proper divisors (45739262170368).

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

13087380683520 is a wasteful number, since it uses less digits than its factorization.

13087380683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13087380683520 in words is "thirteen trillion, eighty-seven billion, three hundred eighty million, six hundred eighty-three thousand, five hundred twenty".