861164080200 has 288 divisors, whose sum is σ = 3063371018760. Its totient is φ = 216052531200.

The previous prime is 861164080199. The next prime is 861164080201. The reversal of 861164080200 is 2080461168.

861164080200 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 640 + 8 + 0 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (861164080199) and next prime (861164080201).

It can be written as a sum of positive squares in 12 ways, for example, as 58824681444 + 802339398756 = 242538^2 + 895734^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (861164080201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135891432 + ... + 135897768.

Almost surely, 2^861164080200 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 861164080200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531685509380).

861164080200 is an abundant number, since it is smaller than the sum of its proper divisors (2202206938560).

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

861164080200 is a wasteful number, since it uses less digits than its factorization.

861164080200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817 (or 10805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 861164080200 in words is "eight hundred sixty-one billion, one hundred sixty-four million, eighty thousand, two hundred".