10686287760 has 160 divisors (see below), whose sum is σ = 34992427008. Its totient is φ = 2693537280.

The previous prime is 10686287741. The next prime is 10686287783. The reversal of 10686287760 is 6778268601.

It is a super-2 number, since 2×10686287760² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303219 + ... + 336621.

Almost surely, 2^10686287760 is an apocalyptic number.

10686287760 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 10686287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496213504).

10686287760 is an abundant number, since it is smaller than the sum of its proper divisors (24306139248).

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

10686287760 is a wasteful number, since it uses less digits than its factorization.

10686287760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33493 (or 33487 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 10686287760 in words is "ten billion, six hundred eighty-six million, two hundred eighty-seven thousand, seven hundred sixty".