86023866240 has 672 divisors, whose sum is σ = 334183744440. Its totient is φ = 21155696640.

The previous prime is 86023866217. The next prime is 86023866241. The reversal of 86023866240 is 4266832068.

86023866240 is a `hidden beast` number, since 8 + 602 + 38 + 6 + 6 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86023866241) 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 83 ways as a sum of consecutive naturals, for example, 78848095 + ... + 78849185.

Almost surely, 2^86023866240 is an apocalyptic number.

86023866240 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 86023866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167091872220).

86023866240 is an abundant number, since it is smaller than the sum of its proper divisors (248159878200).

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

86023866240 is a wasteful number, since it uses less digits than its factorization.

86023866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 86023866240 in words is "eighty-six billion, twenty-three million, eight hundred sixty-six thousand, two hundred forty".