58553699328 has 264 divisors, whose sum is σ = 174185387376. Its totient is φ = 18933350400.

The previous prime is 58553699263. The next prime is 58553699329. The reversal of 58553699328 is 82399635585.

58553699328 is a `hidden beast` number, since 5 + 8 + 5 + 536 + 9 + 93 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (58553699329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91062975 + ... + 91063617.

It is an arithmetic number, because the mean of its divisors is an integer number (659793134).

Almost surely, 2^58553699328 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 58553699328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87092693688).

58553699328 is an abundant number, since it is smaller than the sum of its proper divisors (115631688048).

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

58553699328 is a wasteful number, since it uses less digits than its factorization.

58553699328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 930 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 58553699328 in words is "fifty-eight billion, five hundred fifty-three million, six hundred ninety-nine thousand, three hundred twenty-eight".