86139242285760 has 448 divisors, whose sum is σ = 307102633545600. Its totient is φ = 22727579664384.

The previous prime is 86139242285753. The next prime is 86139242285773. The reversal of 86139242285760 is 6758224293168.

86139242285760 is a `hidden beast` number, since 8 + 6 + 1 + 39 + 2 + 4 + 2 + 28 + 576 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563260186 + ... + 563413094.

It is a 1-persistent number, because it is pandigital, but 2⋅86139242285760 = 172278484571520 is not.

Almost surely, 2^{86139242285760} is an apocalyptic number.

86139242285760 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 86139242285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153551316772800).

86139242285760 is an abundant number, since it is smaller than the sum of its proper divisors (220963391259840).

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

86139242285760 is a wasteful number, since it uses less digits than its factorization.

86139242285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153625 (or 153609 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 86139242285760 in words is "eighty-six trillion, one hundred thirty-nine billion, two hundred forty-two million, two hundred eighty-five thousand, seven hundred sixty".