1086500683800 has 288 divisors, whose sum is σ = 4171331455200. Its totient is φ = 248269271040.

The previous prime is 1086500683799. The next prime is 1086500683837. The reversal of 1086500683800 is 83860056801.

1086500683800 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 500 + 68 + 3 + 80 + 0 = 666.

1086500683800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50250592 + ... + 50272208.

It is an arithmetic number, because the mean of its divisors is an integer number (14483789775).

Almost surely, 2^{1086500683800} is an apocalyptic number.

1086500683800 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 1086500683800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085665727600).

1086500683800 is an abundant number, since it is smaller than the sum of its proper divisors (3084830771400).

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

1086500683800 is a wasteful number, since it uses less digits than its factorization.

1086500683800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25635 (or 25623 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1086500683800 in words is "one trillion, eighty-six billion, five hundred million, six hundred eighty-three thousand, eight hundred".