86585811840 has 320 divisors, whose sum is σ = 337326113520. Its totient is φ = 20990361600.

The previous prime is 86585811817. The next prime is 86585811841. The reversal of 86585811840 is 4811858568.

86585811840 is a `hidden beast` number, since 8 + 6 + 5 + 8 + 581 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86585811841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 494320 + ... + 646160.

Almost surely, 2^86585811840 is an apocalyptic number.

86585811840 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 86585811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168663056760).

86585811840 is an abundant number, since it is smaller than the sum of its proper divisors (250740301680).

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

86585811840 is a wasteful number, since it uses less digits than its factorization.

86585811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151883 (or 151862 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 86585811840 in words is "eighty-six billion, five hundred eighty-five million, eight hundred eleven thousand, eight hundred forty".