859542778080 has 144 divisors (see below), whose sum is σ = 3352216873824. Its totient is φ = 196466918400.

The previous prime is 859542778069. The next prime is 859542778097. The reversal of 859542778080 is 80877245958.

859542778080 is a `hidden beast` number, since 8 + 5 + 9 + 542 + 7 + 7 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 859542777999 and 859542778017.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 42625971 + ... + 42646130.

It is an arithmetic number, because the mean of its divisors is an integer number (23279283846).

Almost surely, 2^859542778080 is an apocalyptic number.

859542778080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

859542778080 is an abundant number, since it is smaller than the sum of its proper divisors (2492674095744).

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

859542778080 is a wasteful number, since it uses less digits than its factorization.

859542778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85272129 (or 85272118 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 859542778080 in words is "eight hundred fifty-nine billion, five hundred forty-two million, seven hundred seventy-eight thousand, eighty".