86317541127760 has 160 divisors (see below), whose sum is σ = 219845088433440. Its totient is φ = 31372001869824.

The previous prime is 86317541127749. The next prime is 86317541127793. The reversal of 86317541127760 is 6772114571368.

It can be written as a sum of positive squares in 16 ways, for example, as 292806525456 + 86024734602304 = 541116^2 + 9274952^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 86317541127695 and 86317541127704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371921514 + ... + 372153526.

It is an arithmetic number, because the mean of its divisors is an integer number (1374031802709).

Almost surely, 2^{86317541127760} is an apocalyptic number.

86317541127760 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 86317541127760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109922544216720).

86317541127760 is an abundant number, since it is smaller than the sum of its proper divisors (133527547305680).

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

86317541127760 is a wasteful number, since it uses less digits than its factorization.

86317541127760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241505 (or 241499 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 86317541127760 in words is "eighty-six trillion, three hundred seventeen billion, five hundred forty-one million, one hundred twenty-seven thousand, seven hundred sixty".