5124811307616 has 1152 divisors, whose sum is σ = 20383773742080. Its totient is φ = 1216290816000.

The previous prime is 5124811307587. The next prime is 5124811307653. The reversal of 5124811307616 is 6167031184215.

5124811307616 is a `hidden beast` number, since 5 + 1 + 24 + 8 + 1 + 1 + 3 + 0 + 7 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1135564176 + ... + 1135568688.

It is an arithmetic number, because the mean of its divisors is an integer number (17694248040).

Almost surely, 2^{5124811307616} is an apocalyptic number.

5124811307616 is a gapful number since it is divisible by the number (56) 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 5124811307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10191886871040).

5124811307616 is an abundant number, since it is smaller than the sum of its proper divisors (15258962434464).

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

5124811307616 is a wasteful number, since it uses less digits than its factorization.

5124811307616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 5124811307616 in words is "five trillion, one hundred twenty-four billion, eight hundred eleven million, three hundred seven thousand, six hundred sixteen".