58987261280000 has 720 divisors, whose sum is σ = 153998808606720. Its totient is φ = 22517913600000.

The previous prime is 58987261279951. The next prime is 58987261280029. The reversal of 58987261280000 is 8216278985.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164309919821 + ... + 164309920179.

It is an arithmetic number, because the mean of its divisors is an integer number (213887234176).

Almost surely, 2^{58987261280000} is an apocalyptic number.

58987261280000 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 58987261280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76999404303360).

58987261280000 is an abundant number, since it is smaller than the sum of its proper divisors (95011547326720).

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

58987261280000 is a wasteful number, since it uses less digits than its factorization.

58987261280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 56.

The spelling of 58987261280000 in words is "fifty-eight trillion, nine hundred eighty-seven billion, two hundred sixty-one million, two hundred eighty thousand".