86769439200 has 216 divisors, whose sum is σ = 306480774600. Its totient is φ = 23099950080.

The previous prime is 86769439181. The next prime is 86769439217. The reversal of 86769439200 is 293496768.

It is a happy number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4447066 + ... + 4466534.

It is an arithmetic number, because the mean of its divisors is an integer number (1418892475).

Almost surely, 2^86769439200 is an apocalyptic number.

86769439200 is a gapful number since it is divisible by the number (80) 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 86769439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153240387300).

86769439200 is an abundant number, since it is smaller than the sum of its proper divisors (219711335400).

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

86769439200 is a wasteful number, since it uses less digits than its factorization.

86769439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20114 (or 20098 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 86769439200 in words is "eighty-six billion, seven hundred sixty-nine million, four hundred thirty-nine thousand, two hundred".