5112782007600 has 240 divisors, whose sum is σ = 17379331321248. Its totient is φ = 1280397803520.

The previous prime is 5112782007577. The next prime is 5112782007601. The reversal of 5112782007600 is 67002872115.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5112782007600² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5112782007601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9048592 + ... + 9597008.

Almost surely, 2^{5112782007600} is an apocalyptic number.

5112782007600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5112782007600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689665660624).

5112782007600 is an abundant number, since it is smaller than the sum of its proper divisors (12266549313648).

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

5112782007600 is a wasteful number, since it uses less digits than its factorization.

5112782007600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548912 (or 548901 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

Adding to 5112782007600 its reverse (67002872115), we get a palindrome (5179784879715).

The spelling of 5112782007600 in words is "five trillion, one hundred twelve billion, seven hundred eighty-two million, seven thousand, six hundred".