5783519040 has 448 divisors, whose sum is σ = 20646420480. Its totient is φ = 1362493440.

The previous prime is 5783519023. The next prime is 5783519087. The reversal of 5783519040 is 409153875.

It is a junction number, because it is equal to n+sod(n) for n = 5783518983 and 5783519001.

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 63 ways as a sum of consecutive naturals, for example, 45539457 + ... + 45539583.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 2^5783519040 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 5783519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323210240).

5783519040 is an abundant number, since it is smaller than the sum of its proper divisors (14862901440).

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

5783519040 is a wasteful number, since it uses less digits than its factorization.

5783519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 5783519040 is about 76049.4512800717. The cubic root of 5783519040 is about 1794.9983617948.

The spelling of 5783519040 in words is "five billion, seven hundred eighty-three million, five hundred nineteen thousand, forty".