861758445960 has 320 divisors, whose sum is σ = 3079439700480. Its totient is φ = 215662487040.

The previous prime is 861758445959. The next prime is 861758446037. The reversal of 861758445960 is 69544857168.

861758445960 is a `hidden beast` number, since 8 + 6 + 1 + 7 + 584 + 45 + 9 + 6 + 0 = 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 79 ways as a sum of consecutive naturals, for example, 3840465 + ... + 4058655.

It is an arithmetic number, because the mean of its divisors is an integer number (9623249064).

Almost surely, 2^861758445960 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 861758445960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539719850240).

861758445960 is an abundant number, since it is smaller than the sum of its proper divisors (2217681254520).

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

861758445960 is a wasteful number, since it uses less digits than its factorization.

861758445960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218290 (or 218277 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 861758445960 in words is "eight hundred sixty-one billion, seven hundred fifty-eight million, four hundred forty-five thousand, nine hundred sixty".