5121435643104 has 192 divisors, whose sum is σ = 14769753062400. Its totient is φ = 1540971264000.

The previous prime is 5121435643039. The next prime is 5121435643157. The reversal of 5121435643104 is 4013465341215.

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 31 ways as a sum of consecutive naturals, for example, 672012414 + ... + 672020034.

It is an arithmetic number, because the mean of its divisors is an integer number (76925797200).

Almost surely, 2^{5121435643104} 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 5121435643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384876531200).

5121435643104 is an abundant number, since it is smaller than the sum of its proper divisors (9648317419296).

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

5121435643104 is a wasteful number, since it uses less digits than its factorization.

5121435643104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12065 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 5121435643104 in words is "five trillion, one hundred twenty-one billion, four hundred thirty-five million, six hundred forty-three thousand, one hundred four".