10684873260 has 72 divisors (see below), whose sum is σ = 32526277056. Its totient is φ = 2839146240.

The previous prime is 10684873253. The next prime is 10684873321. The reversal of 10684873260 is 6237848601.

10684873260 is a `hidden beast` number, since 106 + 8 + 487 + 3 + 2 + 60 = 666.

It is a super-2 number, since 2×10684873260² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55044 + ... + 156203.

It is an arithmetic number, because the mean of its divisors is an integer number (451753848).

Almost surely, 2^10684873260 is an apocalyptic number.

10684873260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10684873260 is an abundant number, since it is smaller than the sum of its proper divisors (21841403796).

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

10684873260 is a wasteful number, since it uses less digits than its factorization.

10684873260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211543 (or 211538 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10684873260 in words is "ten billion, six hundred eighty-four million, eight hundred seventy-three thousand, two hundred sixty".