1186420008600 has 480 divisors, whose sum is σ = 4158910747200. Its totient is φ = 313453670400.

The previous prime is 1186420008577. The next prime is 1186420008601. The reversal of 1186420008600 is 68000246811.

1186420008600 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 42 + 0 + 0 + 0 + 8 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186420008601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 894061137 + ... + 894062463.

It is an arithmetic number, because the mean of its divisors is an integer number (8664397390).

Almost surely, 2^{1186420008600} is an apocalyptic number.

1186420008600 is a gapful number since it is divisible by the number (10) 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 1186420008600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079455373600).

1186420008600 is an abundant number, since it is smaller than the sum of its proper divisors (2972490738600).

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

1186420008600 is a wasteful number, since it uses less digits than its factorization.

1186420008600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1807 counting only the distinct ones).

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

The spelling of 1186420008600 in words is "one trillion, one hundred eighty-six billion, four hundred twenty million, eight thousand, six hundred".