1166410627200 has 960 divisors, whose sum is σ = 5297721549120. Its totient is φ = 246094848000.

The previous prime is 1166410627183. The next prime is 1166410627243. The reversal of 1166410627200 is 27260146611.

1166410627200 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 4 + 1 + 0 + 627 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23562475 + ... + 23611925.

It is an arithmetic number, because the mean of its divisors is an integer number (5518459947).

Almost surely, 2^{1166410627200} is an apocalyptic number.

1166410627200 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 1166410627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648860774560).

1166410627200 is an abundant number, since it is smaller than the sum of its proper divisors (4131310921920).

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

1166410627200 is a wasteful number, since it uses less digits than its factorization.

1166410627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49507 (or 49481 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1166410627200 in words is "one trillion, one hundred sixty-six billion, four hundred ten million, six hundred twenty-seven thousand, two hundred".