85059910249560 has 384 divisors, whose sum is σ = 288216912372480. Its totient is φ = 22561610254848.

The previous prime is 85059910249543. The next prime is 85059910249597. The reversal of 85059910249560 is 6594201995058.

85059910249560 is a `hidden beast` number, since 8 + 5 + 0 + 59 + 9 + 10 + 2 + 4 + 9 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1489454527 + ... + 1489511633.

It is an arithmetic number, because the mean of its divisors is an integer number (750564875970).

Almost surely, 2^{85059910249560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85059910249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144108456186240).

85059910249560 is an abundant number, since it is smaller than the sum of its proper divisors (203157002122920).

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

85059910249560 is a wasteful number, since it uses less digits than its factorization.

85059910249560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57949 (or 57933 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 85059910249560 in words is "eighty-five trillion, fifty-nine billion, nine hundred ten million, two hundred forty-nine thousand, five hundred sixty".