1166011232400 has 675 divisors, whose sum is σ = 4873627296219. Its totient is φ = 266205864960.

The previous prime is 1166011232381. The next prime is 1166011232413. The reversal of 1166011232400 is 42321106611.

It is a happy number.

The square root of 1166011232400 is 1079820.

It is a perfect power (a square), and thus also a powerful number.

1166011232400 is a `hidden beast` number, since 1 + 1 + 6 + 601 + 12 + 3 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 151978344336 + 1014032888064 = 389844^2 + 1006992^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1360572772 + ... + 1360573628.

Almost surely, 2^{1166011232400} is an apocalyptic number.

1166011232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1166011232400 is the 1079820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166011232400

1166011232400 is an abundant number, since it is smaller than the sum of its proper divisors (3707616063819).

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

1166011232400 is an frugal number, since it uses more digits than its factorization.

1166011232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 1166011232400 in words is "one trillion, one hundred sixty-six billion, eleven million, two hundred thirty-two thousand, four hundred".