58530263040 has 624 divisors, whose sum is σ = 221825385600. Its totient is φ = 14762704896.

The previous prime is 58530263009. The next prime is 58530263041. The reversal of 58530263040 is 4036203585.

It is a happy number.

58530263040 is a `hidden beast` number, since 58 + 530 + 2 + 6 + 30 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58530262986 and 58530263004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58530263041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 94555851 + ... + 94556469.

It is an arithmetic number, because the mean of its divisors is an integer number (355489400).

Almost surely, 2^58530263040 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 58530263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110912692800).

58530263040 is an abundant number, since it is smaller than the sum of its proper divisors (163295122560).

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

58530263040 is an equidigital number, since it uses as much as digits as its factorization.

58530263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 58530263040 in words is "fifty-eight billion, five hundred thirty million, two hundred sixty-three thousand, forty".