1172064556800 has 1080 divisors, whose sum is σ = 4570784951040. Its totient is φ = 295877836800.

The previous prime is 1172064556783. The next prime is 1172064556837. The reversal of 1172064556800 is 86554602711.

1172064556800 is a `hidden beast` number, since 1 + 1 + 7 + 20 + 64 + 5 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 796780065 + ... + 796781535.

It is an arithmetic number, because the mean of its divisors is an integer number (4232208288).

Almost surely, 2^{1172064556800} is an apocalyptic number.

1172064556800 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 1172064556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285392475520).

1172064556800 is an abundant number, since it is smaller than the sum of its proper divisors (3398720394240).

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

1172064556800 is a wasteful number, since it uses less digits than its factorization.

1172064556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1172064556800 in words is "one trillion, one hundred seventy-two billion, sixty-four million, five hundred fifty-six thousand, eight hundred".