5790221107200 has 2304 divisors, whose sum is σ = 23959700856000. Its totient is φ = 1379338813440.

The previous prime is 5790221107199. The next prime is 5790221107247. The reversal of 5790221107200 is 27011220975.

5790221107200 is a `hidden beast` number, since 579 + 0 + 2 + 2 + 1 + 10 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98139340771 + ... + 98139340829.

Almost surely, 2^{5790221107200} is an apocalyptic number.

5790221107200 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 5790221107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11979850428000).

5790221107200 is an abundant number, since it is smaller than the sum of its proper divisors (18169479748800).

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

5790221107200 is an equidigital number, since it uses as much as digits as its factorization.

5790221107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 5790221107200 in words is "five trillion, seven hundred ninety billion, two hundred twenty-one million, one hundred seven thousand, two hundred".