13087751787360 has 960 divisors, whose sum is σ = 50331529543680. Its totient is φ = 3191404769280.

The previous prime is 13087751787317. The next prime is 13087751787373. The reversal of 13087751787360 is 6378715778031.

13087751787360 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 7 + 7 + 517 + 87 + 36 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1157076105 + ... + 1157087415.

It is an arithmetic number, because the mean of its divisors is an integer number (52428676608).

Almost surely, 2^{13087751787360} is an apocalyptic number.

13087751787360 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 13087751787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165764771840).

13087751787360 is an abundant number, since it is smaller than the sum of its proper divisors (37243777756320).

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

13087751787360 is a wasteful number, since it uses less digits than its factorization.

13087751787360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11521 (or 11504 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 13087751787360 in words is "thirteen trillion, eighty-seven billion, seven hundred fifty-one million, seven hundred eighty-seven thousand, three hundred sixty".