58127026944 has 216 divisors, whose sum is σ = 180924807168. Its totient is φ = 16518727680.

The previous prime is 58127026927. The next prime is 58127026999. The reversal of 58127026944 is 44962072185.

It is a super-2 number, since 2×58127026944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 58127026893 and 58127026902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7183669 + ... + 7191755.

It is an arithmetic number, because the mean of its divisors is an integer number (837614848).

Almost surely, 2^58127026944 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 58127026944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90462403584).

58127026944 is an abundant number, since it is smaller than the sum of its proper divisors (122797780224).

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

58127026944 is a wasteful number, since it uses less digits than its factorization.

58127026944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 58127026944 in words is "fifty-eight billion, one hundred twenty-seven million, twenty-six thousand, nine hundred forty-four".