5123079735840 has 1536 divisors, whose sum is σ = 21532288942080. Its totient is φ = 1123128115200.

The previous prime is 5123079735779. The next prime is 5123079735979. The reversal of 5123079735840 is 485379703215.

5123079735840 is a `hidden beast` number, since 51 + 2 + 3 + 0 + 7 + 9 + 7 + 3 + 584 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3931756629 + ... + 3931757931.

It is an arithmetic number, because the mean of its divisors is an integer number (14018417280).

Almost surely, 2^{5123079735840} 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 5123079735840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10766144471040).

5123079735840 is an abundant number, since it is smaller than the sum of its proper divisors (16409209206240).

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

5123079735840 is a wasteful number, since it uses less digits than its factorization.

5123079735840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 5123079735840 in words is "five trillion, one hundred twenty-three billion, seventy-nine million, seven hundred thirty-five thousand, eight hundred forty".