5790087609600 has 864 divisors, whose sum is σ = 23153388088320. Its totient is φ = 1243956510720.

The previous prime is 5790087609569. The next prime is 5790087609601. The reversal of 5790087609600 is 69067800975.

It is a super-2 number, since 2×5790087609600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790087609601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2657221311 + ... + 2657223489.

It is an arithmetic number, because the mean of its divisors is an integer number (26797902880).

Almost surely, 2^{5790087609600} is an apocalyptic number.

5790087609600 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 5790087609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11576694044160).

5790087609600 is an abundant number, since it is smaller than the sum of its proper divisors (17363300478720).

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

5790087609600 is a wasteful number, since it uses less digits than its factorization.

5790087609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 5790087609600 in words is "five trillion, seven hundred ninety billion, eighty-seven million, six hundred nine thousand, six hundred".