86963418240 has 256 divisors, whose sum is σ = 287247340800. Its totient is φ = 22352117760.

The previous prime is 86963418239. The next prime is 86963418259. The reversal of 86963418240 is 4281436968.

It is a super-2 number, since 2×86963418240² (a number of 23 digits) contains 22 as substring.

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, 47494125 + ... + 47495955.

It is an arithmetic number, because the mean of its divisors is an integer number (1122059925).

Almost surely, 2^86963418240 is an apocalyptic number.

86963418240 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 86963418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143623670400).

86963418240 is an abundant number, since it is smaller than the sum of its proper divisors (200283922560).

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

86963418240 is a wasteful number, since it uses less digits than its factorization.

86963418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 86963418240 in words is "eighty-six billion, nine hundred sixty-three million, four hundred eighteen thousand, two hundred forty".