5790559790900 has 36 divisors (see below), whose sum is σ = 12594534504972. Its totient is φ = 2310874652160.

The previous prime is 5790559790891. The next prime is 5790559790957. The reversal of 5790559790900 is 90979550975.

It can be written as a sum of positive squares in 6 ways, for example, as 1265188537636 + 4525371253264 = 1124806^2 + 2127292^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66822287 + ... + 66908886.

Almost surely, 2^{5790559790900} is an apocalyptic number.

5790559790900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5790559790900 is an abundant number, since it is smaller than the sum of its proper divisors (6803974714072).

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

5790559790900 is a wasteful number, since it uses less digits than its factorization.

5790559790900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133731620 (or 133731613 counting only the distinct ones).

The product of its (nonzero) digits is 40186125, while the sum is 65.

The spelling of 5790559790900 in words is "five trillion, seven hundred ninety billion, five hundred fifty-nine million, seven hundred ninety thousand, nine hundred".