86944415360 has 256 divisors, whose sum is σ = 235090252800. Its totient is φ = 30461952000.

The previous prime is 86944415357. The next prime is 86944415431. The reversal of 86944415360 is 6351444968.

It is a junction number, because it is equal to n+sod(n) for n = 86944415299 and 86944415308.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 58705820 + ... + 58707300.

It is an arithmetic number, because the mean of its divisors is an integer number (918321300).

Almost surely, 2^86944415360 is an apocalyptic number.

86944415360 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 86944415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117545126400).

86944415360 is an abundant number, since it is smaller than the sum of its proper divisors (148145837440).

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

86944415360 is a wasteful number, since it uses less digits than its factorization.

86944415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 86944415360 in words is "eighty-six billion, nine hundred forty-four million, four hundred fifteen thousand, three hundred sixty".