859563048960 has 1920 divisors, whose sum is σ = 3925748736000. Its totient is φ = 176876421120.

The previous prime is 859563048941. The next prime is 859563049027. The reversal of 859563048960 is 69840365958.

859563048960 is a `hidden beast` number, since 8 + 5 + 9 + 563 + 0 + 4 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×859563048960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8345272269 + ... + 8345272371.

It is an arithmetic number, because the mean of its divisors is an integer number (2044660800).

Almost surely, 2^859563048960 is an apocalyptic number.

859563048960 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 859563048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962874368000).

859563048960 is an abundant number, since it is smaller than the sum of its proper divisors (3066185687040).

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

859563048960 is a wasteful number, since it uses less digits than its factorization.

859563048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 859563048960 in words is "eight hundred fifty-nine billion, five hundred sixty-three million, forty-eight thousand, nine hundred sixty".