1166180400 has 540 divisors, whose sum is σ = 5144217624. Its totient is φ = 241920000.

The previous prime is 1166180381. The next prime is 1166180401. The reversal of 1166180400 is 40816611.

1166180400 is a `hidden beast` number, since 1 + 1 + 6 + 618 + 0 + 40 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1166180401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1940100 + ... + 1940700.

Almost surely, 2^1166180400 is an apocalyptic number.

1166180400 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 1166180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572108812).

1166180400 is an abundant number, since it is smaller than the sum of its proper divisors (3978037224).

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

1166180400 is a wasteful number, since it uses less digits than its factorization.

1166180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1166180400 is about 34149.3835961939. The cubic root of 1166180400 is about 1052.5803204689.

The spelling of 1166180400 in words is "one billion, one hundred sixty-six million, one hundred eighty thousand, four hundred".