86518031705280 has 1792 divisors, whose sum is σ = 362785791836160. Its totient is φ = 19000903090176.

The previous prime is 86518031705249. The next prime is 86518031705317. The reversal of 86518031705280 is 8250713081568.

86518031705280 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 80 + 31 + 7 + 0 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59791313517 + ... + 59791314963.

It is an arithmetic number, because the mean of its divisors is an integer number (202447428480).

Almost surely, 2^{86518031705280} is an apocalyptic number.

86518031705280 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 86518031705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181392895918080).

86518031705280 is an abundant number, since it is smaller than the sum of its proper divisors (276267760130880).

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

86518031705280 is a wasteful number, since it uses less digits than its factorization.

86518031705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 86518031705280 in words is "eighty-six trillion, five hundred eighteen billion, thirty-one million, seven hundred five thousand, two hundred eighty".