86612385462040 has 128 divisors (see below), whose sum is σ = 197539413811200. Its totient is φ = 34173753349120.

The previous prime is 86612385462013. The next prime is 86612385462041. The reversal of 86612385462040 is 4026458321668.

It is a super-3 number, since 3×86612385462040³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86612385462041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2600096985 + ... + 2600130295.

It is an arithmetic number, because the mean of its divisors is an integer number (1543276670400).

Almost surely, 2^{86612385462040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86612385462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98769706905600).

86612385462040 is an abundant number, since it is smaller than the sum of its proper divisors (110927028349160).

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

86612385462040 is a wasteful number, since it uses less digits than its factorization.

86612385462040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35137 (or 35133 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 86612385462040 in words is "eighty-six trillion, six hundred twelve billion, three hundred eighty-five million, four hundred sixty-two thousand, forty".