5785621920 has 288 divisors, whose sum is σ = 21839427792. Its totient is φ = 1385496576.

The previous prime is 5785621879. The next prime is 5785621969. The reversal of 5785621920 is 291265875.

5785621920 is a `hidden beast` number, since 5 + 78 + 562 + 19 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3139136784 + 2646485136 = 56028^2 + 51444^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688464 + ... + 696816.

Almost surely, 2^5785621920 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 5785621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919713896).

5785621920 is an abundant number, since it is smaller than the sum of its proper divisors (16053805872).

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

5785621920 is a wasteful number, since it uses less digits than its factorization.

5785621920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8413 counting only the distinct ones).

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

The square root of 5785621920 is about 76063.2757643266. The cubic root of 5785621920 is about 1795.2158884559.

The spelling of 5785621920 in words is "five billion, seven hundred eighty-five million, six hundred twenty-one thousand, nine hundred twenty".