58348825920000 has 4800 divisors, whose sum is σ = 279030093788160. Its totient is φ = 11379916800000.

The previous prime is 58348825919983. The next prime is 58348825920017. The reversal of 58348825920000 is 2952884385.

It is a happy number.

58348825920000 is a `hidden beast` number, since 5 + 8 + 3 + 48 + 8 + 2 + 592 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58348825919983) and next prime (58348825920017).

It is a tau number, because it is divible by the number of its divisors (4800).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 276534719895 + ... + 276534720105.

Almost surely, 2^{58348825920000} is an apocalyptic number.

58348825920000 is a gapful number since it is divisible by the number (50) 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 58348825920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139515046894080).

58348825920000 is an abundant number, since it is smaller than the sum of its proper divisors (220681267868160).

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

58348825920000 is a wasteful number, since it uses less digits than its factorization.

58348825920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 58348825920000 in words is "fifty-eight trillion, three hundred forty-eight billion, eight hundred twenty-five million, nine hundred twenty thousand".