85705917840 has 480 divisors, whose sum is σ = 304034290560. Its totient is φ = 21611520000.

The previous prime is 85705917827. The next prime is 85705917859. The reversal of 85705917840 is 4871950758.

85705917840 is a `hidden beast` number, since 8 + 5 + 7 + 0 + 591 + 7 + 8 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 318609226 + ... + 318609494.

It is an arithmetic number, because the mean of its divisors is an integer number (633404772).

Almost surely, 2^85705917840 is an apocalyptic number.

85705917840 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 85705917840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152017145280).

85705917840 is an abundant number, since it is smaller than the sum of its proper divisors (218328372720).

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

85705917840 is a wasteful number, since it uses less digits than its factorization.

85705917840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 85705917840 in words is "eighty-five billion, seven hundred five million, nine hundred seventeen thousand, eight hundred forty".