5759082240 has 288 divisors, whose sum is σ = 19348471296. Its totient is φ = 1457111040.

The previous prime is 5759082211. The next prime is 5759082271. The reversal of 5759082240 is 422809575.

It is a junction number, because it is equal to n+sod(n) for n = 5759082192 and 5759082201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17398875 + ... + 17399205.

It is an arithmetic number, because the mean of its divisors is an integer number (67182192).

Almost surely, 2^5759082240 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 5759082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674235648).

5759082240 is an abundant number, since it is smaller than the sum of its proper divisors (13589389056).

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

5759082240 is a wasteful number, since it uses less digits than its factorization.

5759082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5759082240 is about 75888.6173282924. The cubic root of 5759082240 is about 1792.4666886118.

The spelling of 5759082240 in words is "five billion, seven hundred fifty-nine million, eighty-two thousand, two hundred forty".