5750759040 has 384 divisors, whose sum is σ = 20428070400. Its totient is φ = 1374437376.

The previous prime is 5750759029. The next prime is 5750759057. The reversal of 5750759040 is 409570575.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5750759040² = 66142459072283443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5750758983 and 5750759001.

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, 12005521 + ... + 12005999.

It is an arithmetic number, because the mean of its divisors is an integer number (53198100).

Almost surely, 2^5750759040 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 5750759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214035200).

5750759040 is an abundant number, since it is smaller than the sum of its proper divisors (14677311360).

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

5750759040 is a wasteful number, since it uses less digits than its factorization.

5750759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The square root of 5750759040 is about 75833.7592368992. The cubic root of 5750759040 is about 1791.6027632469.

The spelling of 5750759040 in words is "five billion, seven hundred fifty million, seven hundred fifty-nine thousand, forty".