10687437567360 has 1536 divisors, whose sum is σ = 41881809715200. Its totient is φ = 2498140569600.

The previous prime is 10687437567347. The next prime is 10687437567379. The reversal of 10687437567360 is 6376573478601.

It is a happy number.

10687437567360 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 7 + 4 + 3 + 7 + 567 + 3 + 60 = 666.

10687437567360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10687437567360² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9832048737 + ... + 9832049823.

It is an arithmetic number, because the mean of its divisors is an integer number (27266803200).

Almost surely, 2^{10687437567360} is an apocalyptic number.

10687437567360 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 10687437567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940904857600).

10687437567360 is an abundant number, since it is smaller than the sum of its proper divisors (31194372147840).

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

10687437567360 is a wasteful number, since it uses less digits than its factorization.

10687437567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 10687437567360 in words is "ten trillion, six hundred eighty-seven billion, four hundred thirty-seven million, five hundred sixty-seven thousand, three hundred sixty".