85710804480 has 600 divisors, whose sum is σ = 352294340112. Its totient is φ = 19591041024.

The previous prime is 85710804479. The next prime is 85710804497. The reversal of 85710804480 is 8440801758.

85710804480 is a `hidden beast` number, since 85 + 7 + 10 + 80 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12244400637 + ... + 12244400643.

Almost surely, 2^85710804480 is an apocalyptic number.

85710804480 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 85710804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176147170056).

85710804480 is an abundant number, since it is smaller than the sum of its proper divisors (266583535632).

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

85710804480 is an frugal number, since it uses more digits than its factorization.

85710804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 85710804480 in words is "eighty-five billion, seven hundred ten million, eight hundred four thousand, four hundred eighty".