86038745782528 has 216 divisors, whose sum is σ = 217976383999584. Its totient is φ = 33516409651200.

The previous prime is 86038745782523. The next prime is 86038745782541. The reversal of 86038745782528 is 82528754783068.

It is not an unprimeable number, because it can be changed into a prime (86038745782523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962669683 + ... + 962759053.

It is an arithmetic number, because the mean of its divisors is an integer number (1009149925924).

Almost surely, 2^{86038745782528} is an apocalyptic number.

86038745782528 is a gapful number since it is divisible by the number (88) 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 86038745782528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108988191999792).

86038745782528 is an abundant number, since it is smaller than the sum of its proper divisors (131937638217056).

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

86038745782528 is a wasteful number, since it uses less digits than its factorization.

86038745782528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96389 (or 96368 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 73.

The spelling of 86038745782528 in words is "eighty-six trillion, thirty-eight billion, seven hundred forty-five million, seven hundred eighty-two thousand, five hundred twenty-eight".