5057809413930 has 1792 divisors, whose sum is σ = 18609778252800. Its totient is φ = 959396659200.

The previous prime is 5057809413929. The next prime is 5057809413931. The reversal of 5057809413930 is 393149087505.

5057809413930 is a `hidden beast` number, since 5 + 0 + 578 + 0 + 9 + 4 + 1 + 39 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (5057809413929) and next prime (5057809413931).

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

It is not an unprimeable number, because it can be changed into a prime (5057809413931) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 36918316822 + ... + 36918316958.

It is an arithmetic number, because the mean of its divisors is an integer number (10384920900).

Almost surely, 2^{5057809413930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5057809413930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9304889126400).

5057809413930 is an abundant number, since it is smaller than the sum of its proper divisors (13551968838870).

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

5057809413930 is a wasteful number, since it uses less digits than its factorization.

5057809413930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5057809413930 in words is "five trillion, fifty-seven billion, eight hundred nine million, four hundred thirteen thousand, nine hundred thirty".