861359188608 has 192 divisors, whose sum is σ = 2491853569920. Its totient is φ = 285594624000.

The previous prime is 861359188601. The next prime is 861359188619. The reversal of 861359188608 is 806881953168.

861359188608 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 5 + 9 + 18 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (861359188601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181298233 + ... + 181302983.

It is an arithmetic number, because the mean of its divisors is an integer number (12978404010).

Almost surely, 2^861359188608 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 861359188608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245926784960).

861359188608 is an abundant number, since it is smaller than the sum of its proper divisors (1630494381312).

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

861359188608 is a wasteful number, since it uses less digits than its factorization.

861359188608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 861359188608 in words is "eight hundred sixty-one billion, three hundred fifty-nine million, one hundred eighty-eight thousand, six hundred eight".