86140825344 has 432 divisors, whose sum is σ = 292273293312. Its totient is φ = 23888535552.

The previous prime is 86140825343. The next prime is 86140825349. The reversal of 86140825344 is 44352804168.

86140825344 is a `hidden beast` number, since 8 + 614 + 0 + 8 + 25 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86140825344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86140825343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154651114 + ... + 154651670.

Almost surely, 2^86140825344 is an apocalyptic number.

86140825344 is a gapful number since it is divisible by the number (84) 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 86140825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146136646656).

86140825344 is an abundant number, since it is smaller than the sum of its proper divisors (206132467968).

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

86140825344 is a wasteful number, since it uses less digits than its factorization.

86140825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 86140825344 in words is "eighty-six billion, one hundred forty million, eight hundred twenty-five thousand, three hundred forty-four".