5312566440 has 320 divisors, whose sum is σ = 18931176000. Its totient is φ = 1332495360.

The previous prime is 5312566439. The next prime is 5312566447. The reversal of 5312566440 is 446652135.

5312566440 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 5 + 6 + 644 + 0 = 666.

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 = 5312566395 and 5312566404.

It is not an unprimeable number, because it can be changed into a prime (5312566447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12988956 + ... + 12989364.

It is an arithmetic number, because the mean of its divisors is an integer number (59159925).

Almost surely, 2^5312566440 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 5312566440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465588000).

5312566440 is an abundant number, since it is smaller than the sum of its proper divisors (13618609560).

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

5312566440 is a wasteful number, since it uses less digits than its factorization.

5312566440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5312566440 is about 72887.3544587811. The cubic root of 5312566440 is about 1744.8902857378.

The spelling of 5312566440 in words is "five billion, three hundred twelve million, five hundred sixty-six thousand, four hundred forty".