5789122560 has 408 divisors, whose sum is σ = 21755688864. Its totient is φ = 1415577600.

The previous prime is 5789122541. The next prime is 5789122567. The reversal of 5789122560 is 652219875.

5789122560 is a `hidden beast` number, since 5 + 7 + 89 + 1 + 2 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5789122567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38338485 + ... + 38338635.

Almost surely, 2^5789122560 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 5789122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877844432).

5789122560 is an abundant number, since it is smaller than the sum of its proper divisors (15966566304).

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

5789122560 is a wasteful number, since it uses less digits than its factorization.

5789122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5789122560 is about 76086.2836521800. The cubic root of 5789122560 is about 1795.5778856957.

The spelling of 5789122560 in words is "five billion, seven hundred eighty-nine million, one hundred twenty-two thousand, five hundred sixty".