10687518720 has 288 divisors, whose sum is σ = 37485957600. Its totient is φ = 2815819776.

The previous prime is 10687518719. The next prime is 10687518763. The reversal of 10687518720 is 2781578601.

It is a happy number.

10687518720 is a `hidden beast` number, since 1 + 0 + 68 + 7 + 518 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10687518720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8201589 + ... + 8202891.

It is an arithmetic number, because the mean of its divisors is an integer number (130159575).

Almost surely, 2^10687518720 is an apocalyptic number.

10687518720 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 10687518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742978800).

10687518720 is an abundant number, since it is smaller than the sum of its proper divisors (26798438880).

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

10687518720 is a wasteful number, since it uses less digits than its factorization.

10687518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 10687518720 in words is "ten billion, six hundred eighty-seven million, five hundred eighteen thousand, seven hundred twenty".