1177221225600 has 576 divisors, whose sum is σ = 4804784974080. Its totient is φ = 268849152000.

The previous prime is 1177221225571. The next prime is 1177221225617. The reversal of 1177221225600 is 65221227711.

1177221225600 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 2 + 21 + 2 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377192040 + ... + 377195160.

It is an arithmetic number, because the mean of its divisors is an integer number (8341640580).

Almost surely, 2^{1177221225600} is an apocalyptic number.

1177221225600 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 1177221225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402392487040).

1177221225600 is an abundant number, since it is smaller than the sum of its proper divisors (3627563748480).

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

1177221225600 is a wasteful number, since it uses less digits than its factorization.

1177221225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1177221225600 in words is "one trillion, one hundred seventy-seven billion, two hundred twenty-one million, two hundred twenty-five thousand, six hundred".