1185766940160 has 1280 divisors, whose sum is σ = 4900186368000. Its totient is φ = 268605849600.

The previous prime is 1185766940159. The next prime is 1185766940201. The reversal of 1185766940160 is 610496675811.

1185766940160 is a `hidden beast` number, since 1 + 1 + 8 + 576 + 6 + 9 + 4 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1185766940097 and 1185766940106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2572162330 + ... + 2572162790.

It is an arithmetic number, because the mean of its divisors is an integer number (3828270600).

Almost surely, 2^{1185766940160} is an apocalyptic number.

1185766940160 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 1185766940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450093184000).

1185766940160 is an abundant number, since it is smaller than the sum of its proper divisors (3714419427840).

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

1185766940160 is a wasteful number, since it uses less digits than its factorization.

1185766940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1185766940160 in words is "one trillion, one hundred eighty-five billion, seven hundred sixty-six million, nine hundred forty thousand, one hundred sixty".