5106305904840 has 1280 divisors, whose sum is σ = 21443019840000. Its totient is φ = 1063404453888.

The previous prime is 5106305904829. The next prime is 5106305904841. The reversal of 5106305904840 is 484095036015.

5106305904840 is a `hidden beast` number, since 5 + 1 + 0 + 630 + 5 + 9 + 0 + 4 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×5106305904840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5106305904841) 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 319 ways as a sum of consecutive naturals, for example, 3961446916 + ... + 3961448204.

It is an arithmetic number, because the mean of its divisors is an integer number (16752359250).

Almost surely, 2^{5106305904840} 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 5106305904840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10721509920000).

5106305904840 is an abundant number, since it is smaller than the sum of its proper divisors (16336713935160).

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

5106305904840 is a wasteful number, since it uses less digits than its factorization.

5106305904840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5106305904840 in words is "five trillion, one hundred six billion, three hundred five million, nine hundred four thousand, eight hundred forty".