58190414000 has 320 divisors, whose sum is σ = 153357684480. Its totient is φ = 21288960000.

The previous prime is 58190413969. The next prime is 58190414039. The reversal of 58190414000 is 41409185.

It is a super-2 number, since 2×58190414000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241453880 + ... + 241454120.

It is an arithmetic number, because the mean of its divisors is an integer number (479242764).

Almost surely, 2^58190414000 is an apocalyptic number.

58190414000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58190414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76678842240).

58190414000 is an abundant number, since it is smaller than the sum of its proper divisors (95167270480).

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

58190414000 is a wasteful number, since it uses less digits than its factorization.

58190414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 58190414000 in words is "fifty-eight billion, one hundred ninety million, four hundred fourteen thousand".