10687478520 has 128 divisors (see below), whose sum is σ = 32914252800. Its totient is φ = 2774908416.

The previous prime is 10687478513. The next prime is 10687478521. The reversal of 10687478520 is 2587478601.

It is a super-2 number, since 2×10687478520² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10687478520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687478521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106271 + ... + 1115889.

It is an arithmetic number, because the mean of its divisors is an integer number (257142600).

Almost surely, 2^10687478520 is an apocalyptic number.

10687478520 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 10687478520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457126400).

10687478520 is an abundant number, since it is smaller than the sum of its proper divisors (22226774280).

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

10687478520 is a wasteful number, since it uses less digits than its factorization.

10687478520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 10687478520 in words is "ten billion, six hundred eighty-seven million, four hundred seventy-eight thousand, five hundred twenty".