58007886048 has 768 divisors, whose sum is σ = 208165386240. Its totient is φ = 15371845632.

The previous prime is 58007886007. The next prime is 58007886073. The reversal of 58007886048 is 84068870085.

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

It is a junction number, because it is equal to n+sod(n) for n = 58007885985 and 58007886003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 794628540 + ... + 794628612.

It is an arithmetic number, because the mean of its divisors is an integer number (271048680).

Almost surely, 2^58007886048 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 58007886048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104082693120).

58007886048 is an abundant number, since it is smaller than the sum of its proper divisors (150157500192).

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

58007886048 is a wasteful number, since it uses less digits than its factorization.

58007886048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 58007886048 in words is "fifty-eight billion, seven million, eight hundred eighty-six thousand, forty-eight".