5711509440 has 1344 divisors, whose sum is σ = 26982359040. Its totient is φ = 1074954240.

The previous prime is 5711509417. The next prime is 5711509457. The reversal of 5711509440 is 449051175.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5711509440² = 65242680166418227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5711509395 and 5711509404.

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 191 ways as a sum of consecutive naturals, for example, 154365102 + ... + 154365138.

It is an arithmetic number, because the mean of its divisors is an integer number (20076160).

Almost surely, 2^5711509440 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 5711509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491179520).

5711509440 is an abundant number, since it is smaller than the sum of its proper divisors (21270849600).

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

5711509440 is a wasteful number, since it uses less digits than its factorization.

5711509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5711509440 is about 75574.5290425286. The cubic root of 5711509440 is about 1787.5174891275.

The spelling of 5711509440 in words is "five billion, seven hundred eleven million, five hundred nine thousand, four hundred forty".