10686487680 has 768 divisors, whose sum is σ = 43953840000. Its totient is φ = 2445189120.

The previous prime is 10686487663. The next prime is 10686487687. The reversal of 10686487680 is 8678468601.

10686487680 is a `hidden beast` number, since 1 + 0 + 6 + 86 + 487 + 6 + 80 = 666.

It is a super-2 number, since 2×10686487680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686487687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39726586 + ... + 39726854.

Almost surely, 2^10686487680 is an apocalyptic number.

10686487680 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 10686487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21976920000).

10686487680 is an abundant number, since it is smaller than the sum of its proper divisors (33267352320).

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

10686487680 is a wasteful number, since it uses less digits than its factorization.

10686487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10686487680 in words is "ten billion, six hundred eighty-six million, four hundred eighty-seven thousand, six hundred eighty".