5792228724600 has 576 divisors, whose sum is σ = 21296780668800. Its totient is φ = 1459002170880.

The previous prime is 5792228724589. The next prime is 5792228724629. The reversal of 5792228724600 is 64278222975.

5792228724600 is a `hidden beast` number, since 5 + 7 + 9 + 2 + 2 + 2 + 8 + 7 + 24 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 320410762 + ... + 320428838.

It is an arithmetic number, because the mean of its divisors is an integer number (36973577550).

Almost surely, 2^{5792228724600} is an apocalyptic number.

5792228724600 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 5792228724600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648390334400).

5792228724600 is an abundant number, since it is smaller than the sum of its proper divisors (15504551944200).

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

5792228724600 is a wasteful number, since it uses less digits than its factorization.

5792228724600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18474 (or 18453 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5792228724600 in words is "five trillion, seven hundred ninety-two billion, two hundred twenty-eight million, seven hundred twenty-four thousand, six hundred".