11829612870 has 64 divisors (see below), whose sum is σ = 31555707840. Its totient is φ = 3153556224.

The previous prime is 11829612869. The next prime is 11829612889. The reversal of 11829612870 is 7821692811.

11829612870 is a `hidden beast` number, since 1 + 1 + 8 + 29 + 612 + 8 + 7 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273282 + ... + 1282538.

It is an arithmetic number, because the mean of its divisors is an integer number (493057935).

Almost surely, 2^11829612870 is an apocalyptic number.

11829612870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11829612870 is an abundant number, since it is smaller than the sum of its proper divisors (19726094970).

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

11829612870 is a wasteful number, since it uses less digits than its factorization.

11829612870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14006 (or 14000 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11829612870 in words is "eleven billion, eight hundred twenty-nine million, six hundred twelve thousand, eight hundred seventy".