58201948818 has 160 divisors (see below), whose sum is σ = 143053827840. Its totient is φ = 17578270080.

The previous prime is 58201948811. The next prime is 58201948823. The reversal of 58201948818 is 81884910285.

58201948818 is a `hidden beast` number, since 582 + 0 + 1 + 9 + 48 + 8 + 18 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58201948811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40221771 + ... + 40223217.

It is an arithmetic number, because the mean of its divisors is an integer number (894086424).

Almost surely, 2^58201948818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58201948818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71526913920).

58201948818 is an abundant number, since it is smaller than the sum of its proper divisors (84851879022).

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

58201948818 is a wasteful number, since it uses less digits than its factorization.

58201948818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 58201948818 in words is "fifty-eight billion, two hundred one million, nine hundred forty-eight thousand, eight hundred eighteen".