86829683232 has 192 divisors, whose sum is σ = 254257315200. Its totient is φ = 25828024320.

The previous prime is 86829683221. The next prime is 86829683249. The reversal of 86829683232 is 23238692868.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148718 + ... + 2188754.

It is an arithmetic number, because the mean of its divisors is an integer number (1324256850).

Almost surely, 2^86829683232 is an apocalyptic number.

86829683232 is a gapful number since it is divisible by the number (82) 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 86829683232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127128657600).

86829683232 is an abundant number, since it is smaller than the sum of its proper divisors (167427631968).

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

86829683232 is a wasteful number, since it uses less digits than its factorization.

86829683232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40139 (or 40131 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 86829683232 in words is "eighty-six billion, eight hundred twenty-nine million, six hundred eighty-three thousand, two hundred thirty-two".