1185166136700 has 2304 divisors, whose sum is σ = 5234544967680. Its totient is φ = 225740390400.

The previous prime is 1185166136689. The next prime is 1185166136753. The reversal of 1185166136700 is 76316615811.

1185166136700 is a `hidden beast` number, since 1 + 1 + 8 + 516 + 61 + 3 + 6 + 70 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 10488195844 + ... + 10488195956.

It is an arithmetic number, because the mean of its divisors is an integer number (2271937920).

Almost surely, 2^{1185166136700} is an apocalyptic number.

1185166136700 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 1185166136700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617272483840).

1185166136700 is an abundant number, since it is smaller than the sum of its proper divisors (4049378830980).

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

1185166136700 is a wasteful number, since it uses less digits than its factorization.

1185166136700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1185166136700 in words is "one trillion, one hundred eighty-five billion, one hundred sixty-six million, one hundred thirty-six thousand, seven hundred".