58033546116 has 288 divisors, whose sum is σ = 180036864000. Its totient is φ = 14496693120.

The previous prime is 58033546079. The next prime is 58033546117. The reversal of 58033546116 is 61164533085.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (58033546117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13214281 + ... + 13218671.

It is an arithmetic number, because the mean of its divisors is an integer number (625128000).

Almost surely, 2^58033546116 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 58033546116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90018432000).

58033546116 is an abundant number, since it is smaller than the sum of its proper divisors (122003317884).

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

58033546116 is a wasteful number, since it uses less digits than its factorization.

58033546116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 58033546116 in words is "fifty-eight billion, thirty-three million, five hundred forty-six thousand, one hundred sixteen".