860027857920 has 1056 divisors, whose sum is σ = 3816288193536. Its totient is φ = 173850624000.

The previous prime is 860027857907. The next prime is 860027857921. The reversal of 860027857920 is 29758720068.

It is a happy number.

860027857920 is a `hidden beast` number, since 8 + 60 + 0 + 2 + 7 + 8 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is not an unprimeable number, because it can be changed into a prime (860027857921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 131278645 + ... + 131285195.

Almost surely, 2^860027857920 is an apocalyptic number.

860027857920 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 860027857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908144096768).

860027857920 is an abundant number, since it is smaller than the sum of its proper divisors (2956260335616).

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

860027857920 is a wasteful number, since it uses less digits than its factorization.

860027857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 860027857920 in words is "eight hundred sixty billion, twenty-seven million, eight hundred fifty-seven thousand, nine hundred twenty".