858680514432 has 512 divisors, whose sum is σ = 2895750950400. Its totient is φ = 248155176960.

The previous prime is 858680514401. The next prime is 858680514437. The reversal of 858680514432 is 234415086858.

858680514432 is a `hidden beast` number, since 8 + 5 + 8 + 6 + 80 + 514 + 43 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858680514437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527768403 + ... + 527770029.

It is an arithmetic number, because the mean of its divisors is an integer number (5655763575).

Almost surely, 2^858680514432 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 858680514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447875475200).

858680514432 is an abundant number, since it is smaller than the sum of its proper divisors (2037070435968).

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

858680514432 is a wasteful number, since it uses less digits than its factorization.

858680514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 858680514432 in words is "eight hundred fifty-eight billion, six hundred eighty million, five hundred fourteen thousand, four hundred thirty-two".