86983250640 has 480 divisors, whose sum is σ = 322171879680. Its totient is φ = 19283066880.

The previous prime is 86983250611. The next prime is 86983250647. The reversal of 86983250640 is 4605238968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86983250647) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42658741 + ... + 42660779.

It is an arithmetic number, because the mean of its divisors is an integer number (671191416).

Almost surely, 2^86983250640 is an apocalyptic number.

86983250640 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 86983250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161085939840).

86983250640 is an abundant number, since it is smaller than the sum of its proper divisors (235188629040).

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

86983250640 is a wasteful number, since it uses less digits than its factorization.

86983250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 86983250640 in words is "eighty-six billion, nine hundred eighty-three million, two hundred fifty thousand, six hundred forty".