5795038771200 has 1152 divisors, whose sum is σ = 25758826329600. Its totient is φ = 1246628413440.

The previous prime is 5795038771187. The next prime is 5795038771219. The reversal of 5795038771200 is 21778305975.

It is a happy number.

5795038771200 is a `hidden beast` number, since 5 + 7 + 9 + 50 + 387 + 7 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5795038771200² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164487987 + ... + 164523213.

It is an arithmetic number, because the mean of its divisors is an integer number (22360092300).

Almost surely, 2^{5795038771200} is an apocalyptic number.

5795038771200 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 5795038771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879413164800).

5795038771200 is an abundant number, since it is smaller than the sum of its proper divisors (19963787558400).

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

5795038771200 is a wasteful number, since it uses less digits than its factorization.

5795038771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35292 (or 35261 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 5795038771200 in words is "five trillion, seven hundred ninety-five billion, thirty-eight million, seven hundred seventy-one thousand, two hundred".