5058075541536 has 240 divisors, whose sum is σ = 15403775365440. Its totient is φ = 1626282524160.

The previous prime is 5058075541529. The next prime is 5058075541537. The reversal of 5058075541536 is 6351455708505.

5058075541536 is a `hidden beast` number, since 5 + 0 + 5 + 80 + 7 + 554 + 1 + 5 + 3 + 6 = 666.

It is a super-2 number, since 2×5058075541536² (a number of 26 digits) contains 22 as substring.

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 (5058075541537) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 77465575 + ... + 77530841.

It is an arithmetic number, because the mean of its divisors is an integer number (64182397356).

Almost surely, 2^{5058075541536} 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 5058075541536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701887682720).

5058075541536 is an abundant number, since it is smaller than the sum of its proper divisors (10345699823904).

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

5058075541536 is a wasteful number, since it uses less digits than its factorization.

5058075541536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66349 (or 66332 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 5058075541536 in words is "five trillion, fifty-eight billion, seventy-five million, five hundred forty-one thousand, five hundred thirty-six".