58058713440 has 960 divisors, whose sum is σ = 265558487040. Its totient is φ = 11600547840.

The previous prime is 58058713411. The next prime is 58058713457. The reversal of 58058713440 is 4431785085.

58058713440 is a `hidden beast` number, since 58 + 0 + 587 + 13 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22406545 + ... + 22409135.

It is an arithmetic number, because the mean of its divisors is an integer number (276623424).

Almost surely, 2^58058713440 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 58058713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132779243520).

58058713440 is an abundant number, since it is smaller than the sum of its proper divisors (207499773600).

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

58058713440 is a wasteful number, since it uses less digits than its factorization.

58058713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 58058713440 in words is "fifty-eight billion, fifty-eight million, seven hundred thirteen thousand, four hundred forty".