5770736294400 has 1440 divisors, whose sum is σ = 25813606680576. Its totient is φ = 1196052480000.

The previous prime is 5770736294381. The next prime is 5770736294443. The reversal of 5770736294400 is 44926370775.

5770736294400 is a `hidden beast` number, since 5 + 7 + 7 + 0 + 7 + 3 + 629 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5597221885 + ... + 5597222915.

Almost surely, 2^{5770736294400} is an apocalyptic number.

5770736294400 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 5770736294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906803340288).

5770736294400 is an abundant number, since it is smaller than the sum of its proper divisors (20042870386176).

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

5770736294400 is a wasteful number, since it uses less digits than its factorization.

5770736294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 5770736294400 in words is "five trillion, seven hundred seventy billion, seven hundred thirty-six million, two hundred ninety-four thousand, four hundred".