58249047048192 has 3456 divisors, whose sum is σ = 247011686611200. Its totient is φ = 13484225986560.

The previous prime is 58249047048151. The next prime is 58249047048239. The reversal of 58249047048192 is 29184074094285.

58249047048192 is a `hidden beast` number, since 5 + 8 + 24 + 9 + 0 + 47 + 0 + 481 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2008587829234 + ... + 2008587829262.

It is an arithmetic number, because the mean of its divisors is an integer number (71473288950).

Almost surely, 2^{58249047048192} is an apocalyptic number.

58249047048192 is a gapful number since it is divisible by the number (52) 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 58249047048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123505843305600).

58249047048192 is an abundant number, since it is smaller than the sum of its proper divisors (188762639563008).

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

58249047048192 is an frugal number, since it uses more digits than its factorization.

58249047048192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 58249047048192 in words is "fifty-eight trillion, two hundred forty-nine billion, forty-seven million, forty-eight thousand, one hundred ninety-two".