86859709440 has 352 divisors, whose sum is σ = 320053592064. Its totient is φ = 19694223360.

The previous prime is 86859709421. The next prime is 86859709471. The reversal of 86859709440 is 4490795868.

It is a super-2 number, since 2×86859709440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 13651860 + ... + 13658220.

Almost surely, 2^86859709440 is an apocalyptic number.

86859709440 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 86859709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160026796032).

86859709440 is an abundant number, since it is smaller than the sum of its proper divisors (233193882624).

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

86859709440 is a wasteful number, since it uses less digits than its factorization.

86859709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 86859709440 in words is "eighty-six billion, eight hundred fifty-nine million, seven hundred nine thousand, four hundred forty".