58056445440 has 1600 divisors, whose sum is σ = 260098781184. Its totient is φ = 12087263232.

The previous prime is 58056445411. The next prime is 58056445441. The reversal of 58056445440 is 4454465085.

It is a happy number.

58056445440 is a `hidden beast` number, since 5 + 8 + 0 + 564 + 45 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58056445441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1235243497 + ... + 1235243543.

Almost surely, 2^58056445440 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 58056445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130049390592).

58056445440 is an abundant number, since it is smaller than the sum of its proper divisors (202042335744).

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

58056445440 is a wasteful number, since it uses less digits than its factorization.

58056445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 58056445440 in words is "fifty-eight billion, fifty-six million, four hundred forty-five thousand, four hundred forty".