85782447360 has 360 divisors, whose sum is σ = 308370982920. Its totient is φ = 22769123328.

The previous prime is 85782447353. The next prime is 85782447427. The reversal of 85782447360 is 6374428758.

85782447360 is a `hidden beast` number, since 8 + 578 + 2 + 4 + 4 + 7 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3418039296 + 82364408064 = 58464^2 + 286992^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 85782447297 and 85782447306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23740914 + ... + 23744526.

Almost surely, 2^85782447360 is an apocalyptic number.

85782447360 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 85782447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154185491460).

85782447360 is an abundant number, since it is smaller than the sum of its proper divisors (222588535560).

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

85782447360 is a wasteful number, since it uses less digits than its factorization.

85782447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 85782447360 in words is "eighty-five billion, seven hundred eighty-two million, four hundred forty-seven thousand, three hundred sixty".