86494810000 has 225 divisors, whose sum is σ = 223748886031. Its totient is φ = 32374528000.

The previous prime is 86494809959. The next prime is 86494810009. The reversal of 86494810000 is 1849468.

The square root of 86494810000 is 294100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 67211599504 + 19283210496 = 259252^2 + 138864^2 .

It is a super-2 number, since 2×86494810000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86494810009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 499969914 + ... + 499970086.

Almost surely, 2^86494810000 is an apocalyptic number.

86494810000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86494810000 is the 294100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86494810000

86494810000 is an abundant number, since it is smaller than the sum of its proper divisors (137254076031).

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

86494810000 is an equidigital number, since it uses as much as digits as its factorization.

86494810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 86494810000 in words is "eighty-six billion, four hundred ninety-four million, eight hundred ten thousand".