86394422419600 has 135 divisors (see below), whose sum is σ = 211167045375307. Its totient is φ = 33967731255040.

The previous prime is 86394422419589. The next prime is 86394422419607. The reversal of 86394422419600 is 691422449368.

The square root of 86394422419600 is 9294860.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21797581388944 + 64596841030656 = 4668788^2 + 8037216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86394422419607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10967930862 + ... + 10967938738.

Almost surely, 2^{86394422419600} is an apocalyptic number.

86394422419600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86394422419600 is the 9294860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86394422419600

86394422419600 is an abundant number, since it is smaller than the sum of its proper divisors (124772622955707).

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

86394422419600 is an frugal number, since it uses more digits than its factorization.

86394422419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 86394422419600 in words is "eighty-six trillion, three hundred ninety-four billion, four hundred twenty-two million, four hundred nineteen thousand, six hundred".