859206947040 has 768 divisors, whose sum is σ = 3547409644800. Its totient is φ = 192185892864.

The previous prime is 859206947033. The next prime is 859206947059. The reversal of 859206947040 is 40749602958.

859206947040 is a `hidden beast` number, since 8 + 59 + 20 + 69 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 27671364 + ... + 27702396.

It is an arithmetic number, because the mean of its divisors is an integer number (4619022975).

Almost surely, 2^859206947040 is an apocalyptic number.

859206947040 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 859206947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773704822400).

859206947040 is an abundant number, since it is smaller than the sum of its proper divisors (2688202697760).

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

859206947040 is a wasteful number, since it uses less digits than its factorization.

859206947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31116 (or 31102 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 859206947040 in words is "eight hundred fifty-nine billion, two hundred six million, nine hundred forty-seven thousand, forty".