5790589653420 has 768 divisors, whose sum is σ = 22125809664000. Its totient is φ = 1237160770560.

The previous prime is 5790589653307. The next prime is 5790589653421. The reversal of 5790589653420 is 243569850975.

5790589653420 is a `hidden beast` number, since 5 + 7 + 9 + 0 + 5 + 8 + 96 + 534 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5790589653421) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1063857219 + ... + 1063862661.

It is an arithmetic number, because the mean of its divisors is an integer number (28809648000).

Almost surely, 2^{5790589653420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5790589653420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062904832000).

5790589653420 is an abundant number, since it is smaller than the sum of its proper divisors (16335220010580).

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

5790589653420 is a wasteful number, since it uses less digits than its factorization.

5790589653420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 5790589653420 in words is "five trillion, seven hundred ninety billion, five hundred eighty-nine million, six hundred fifty-three thousand, four hundred twenty".