5712128916480 has 1584 divisors, whose sum is σ = 24442999701120. Its totient is φ = 1274680737792.

The previous prime is 5712128916463. The next prime is 5712128916497. The reversal of 5712128916480 is 846198212175.

5712128916480 is a `hidden beast` number, since 5 + 7 + 121 + 28 + 9 + 16 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5712128916463) and next prime (5712128916497).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2621444031 + ... + 2621446209.

It is an arithmetic number, because the mean of its divisors is an integer number (15431186680).

Almost surely, 2^{5712128916480} 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 5712128916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221499850560).

5712128916480 is an abundant number, since it is smaller than the sum of its proper divisors (18730870784640).

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

5712128916480 is a wasteful number, since it uses less digits than its factorization.

5712128916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 5712128916480 in words is "five trillion, seven hundred twelve billion, one hundred twenty-eight million, nine hundred sixteen thousand, four hundred eighty".