5797226764800 has 2400 divisors, whose sum is σ = 23671983646080. Its totient is φ = 1396555776000.

The previous prime is 5797226764757. The next prime is 5797226764817. The reversal of 5797226764800 is 84676227975.

5797226764800 is a `hidden beast` number, since 5 + 7 + 97 + 2 + 2 + 67 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57398284750 + ... + 57398284850.

Almost surely, 2^{5797226764800} is an apocalyptic number.

5797226764800 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 5797226764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835991823040).

5797226764800 is an abundant number, since it is smaller than the sum of its proper divisors (17874756881280).

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

5797226764800 is a wasteful number, since it uses less digits than its factorization.

5797226764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 5797226764800 in words is "five trillion, seven hundred ninety-seven billion, two hundred twenty-six million, seven hundred sixty-four thousand, eight hundred".