5710264560 has 1280 divisors, whose sum is σ = 27998208000. Its totient is φ = 1030164480.

The previous prime is 5710264523. The next prime is 5710264561. The reversal of 5710264560 is 654620175.

It is a happy number.

5710264560 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 2 + 645 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5710264561) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 41080971 + ... + 41081109.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^5710264560 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 5710264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104000).

5710264560 is an abundant number, since it is smaller than the sum of its proper divisors (22287943440).

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

5710264560 is a wasteful number, since it uses less digits than its factorization.

5710264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5710264560 is about 75566.2924854726. The cubic root of 5710264560 is about 1787.3876106493.

The spelling of 5710264560 in words is "five billion, seven hundred ten million, two hundred sixty-four thousand, five hundred sixty".