58428878681720 has 512 divisors, whose sum is σ = 145990789447680. Its totient is φ = 20975610839040.

The previous prime is 58428878681699. The next prime is 58428878681741. The reversal of 58428878681720 is 2718687882485.

It is an interprime number because it is at equal distance from previous prime (58428878681699) and next prime (58428878681741).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58604692262 + ... + 58604693258.

It is an arithmetic number, because the mean of its divisors is an integer number (285138260640).

Almost surely, 2^{58428878681720} 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 58428878681720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72995394723840).

58428878681720 is an abundant number, since it is smaller than the sum of its proper divisors (87561910765960).

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

58428878681720 is a wasteful number, since it uses less digits than its factorization.

58428878681720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 770703360, while the sum is 74.

The spelling of 58428878681720 in words is "fifty-eight trillion, four hundred twenty-eight billion, eight hundred seventy-eight million, six hundred eighty-one thousand, seven hundred twenty".