86049509920 has 288 divisors, whose sum is σ = 239904141120. Its totient is φ = 28889118720.

The previous prime is 86049509879. The next prime is 86049509951. The reversal of 86049509920 is 2990594068.

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 47 ways as a sum of consecutive naturals, for example, 26998567 + ... + 27001753.

It is an arithmetic number, because the mean of its divisors is an integer number (833000490).

Almost surely, 2^86049509920 is an apocalyptic number.

86049509920 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 86049509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952070560).

86049509920 is an abundant number, since it is smaller than the sum of its proper divisors (153854631200).

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

86049509920 is a wasteful number, since it uses less digits than its factorization.

86049509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 86049509920 in words is "eighty-six billion, forty-nine million, five hundred nine thousand, nine hundred twenty".