10686682272 has 96 divisors (see below), whose sum is σ = 32603558400. Its totient is φ = 3001575168.

The previous prime is 10686682271. The next prime is 10686682277. The reversal of 10686682272 is 27228668601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10686682272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10686682271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95122 + ... + 174417.

It is an arithmetic number, because the mean of its divisors is an integer number (339620400).

Almost surely, 2^10686682272 is an apocalyptic number.

10686682272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10686682272 is an abundant number, since it is smaller than the sum of its proper divisors (21916876128).

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

10686682272 is a wasteful number, since it uses less digits than its factorization.

10686682272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269618 (or 269610 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 10686682272 in words is "ten billion, six hundred eighty-six million, six hundred eighty-two thousand, two hundred seventy-two".