10829682540 has 72 divisors (see below), whose sum is σ = 33312752928. Its totient is φ = 2847237120.

The previous prime is 10829682527. The next prime is 10829682649. The reversal of 10829682540 is 4528692801.

10829682540 is a `hidden beast` number, since 1 + 0 + 8 + 29 + 6 + 82 + 540 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410917 + ... + 436476.

It is an arithmetic number, because the mean of its divisors is an integer number (462677124).

Almost surely, 2^10829682540 is an apocalyptic number.

10829682540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10829682540 is an abundant number, since it is smaller than the sum of its proper divisors (22483070388).

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

10829682540 is a wasteful number, since it uses less digits than its factorization.

10829682540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847479 (or 847474 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10829682540 in words is "ten billion, eight hundred twenty-nine million, six hundred eighty-two thousand, five hundred forty".