58525504128 has 1536 divisors, whose sum is σ = 239520153600. Its totient is φ = 13795246080.

The previous prime is 58525504057. The next prime is 58525504133. The reversal of 58525504128 is 82140552585.

58525504128 is a `hidden beast` number, since 5 + 8 + 52 + 550 + 41 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1887919473 + ... + 1887919503.

It is an arithmetic number, because the mean of its divisors is an integer number (155937600).

Almost surely, 2^58525504128 is an apocalyptic number.

58525504128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58525504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119760076800).

58525504128 is an abundant number, since it is smaller than the sum of its proper divisors (180994649472).

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

58525504128 is a wasteful number, since it uses less digits than its factorization.

58525504128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 45.

The spelling of 58525504128 in words is "fifty-eight billion, five hundred twenty-five million, five hundred four thousand, one hundred twenty-eight".