58819453506 has 128 divisors (see below), whose sum is σ = 148414464000. Its totient is φ = 17248453200.

The previous prime is 58819453487. The next prime is 58819453513. The reversal of 58819453506 is 60535491885.

58819453506 is a `hidden beast` number, since 5 + 8 + 81 + 9 + 4 + 53 + 506 = 666.

It is a super-2 number, since 2×58819453506² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2214895 + ... + 2241293.

It is an arithmetic number, because the mean of its divisors is an integer number (1159488000).

Almost surely, 2^58819453506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58819453506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74207232000).

58819453506 is an abundant number, since it is smaller than the sum of its proper divisors (89595010494).

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

58819453506 is a wasteful number, since it uses less digits than its factorization.

58819453506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26474 (or 26446 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 58819453506 in words is "fifty-eight billion, eight hundred nineteen million, four hundred fifty-three thousand, five hundred six".