58749050880 has 1008 divisors, whose sum is σ = 235721749536. Its totient is φ = 13495173120.

The previous prime is 58749050879. The next prime is 58749050897. The reversal of 58749050880 is 8805094785.

58749050880 is a `hidden beast` number, since 58 + 7 + 4 + 9 + 0 + 508 + 80 = 666.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1432903660 + ... + 1432903700.

It is an arithmetic number, because the mean of its divisors is an integer number (233850942).

Almost surely, 2^58749050880 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 58749050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117860874768).

58749050880 is an abundant number, since it is smaller than the sum of its proper divisors (176972698656).

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

58749050880 is a wasteful number, since it uses less digits than its factorization.

58749050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 58749050880 in words is "fifty-eight billion, seven hundred forty-nine million, fifty thousand, eight hundred eighty".