10686012480 has 1008 divisors, whose sum is σ = 46271639232. Its totient is φ = 2314137600.

The previous prime is 10686012427. The next prime is 10686012487. The reversal of 10686012480 is 8421068601.

10686012480 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 601 + 2 + 48 + 0 = 666.

It is a super-2 number, since 2×10686012480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686012487) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 344710065 + ... + 344710095.

It is an arithmetic number, because the mean of its divisors is an integer number (45904404).

Almost surely, 2^10686012480 is an apocalyptic number.

10686012480 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 10686012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23135819616).

10686012480 is an abundant number, since it is smaller than the sum of its proper divisors (35585626752).

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

10686012480 is a wasteful number, since it uses less digits than its factorization.

10686012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10686012480 in words is "ten billion, six hundred eighty-six million, twelve thousand, four hundred eighty".