5776120627200 has 5400 divisors, whose sum is σ = 30265116346080. Its totient is φ = 1070176665600.

The previous prime is 5776120627159. The next prime is 5776120627213. The reversal of 5776120627200 is 27260216775.

5776120627200 is a `hidden beast` number, since 5 + 7 + 7 + 6 + 12 + 0 + 627 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 304006348791 + ... + 304006348809.

Almost surely, 2^{5776120627200} is an apocalyptic number.

5776120627200 is a gapful number since it is divisible by the number (50) 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 5776120627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132558173040).

5776120627200 is an abundant number, since it is smaller than the sum of its proper divisors (24488995718880).

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

5776120627200 is a wasteful number, since it uses less digits than its factorization.

5776120627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 5776120627200 in words is "five trillion, seven hundred seventy-six billion, one hundred twenty million, six hundred twenty-seven thousand, two hundred".