58142601600 has 432 divisors, whose sum is σ = 202084084020. Its totient is φ = 14691973120.

The previous prime is 58142601589. The next prime is 58142601611. The reversal of 58142601600 is 610624185.

It is an interprime number because it is at equal distance from previous prime (58142601589) and next prime (58142601611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 543388747 + ... + 543388853.

Almost surely, 2^58142601600 is an apocalyptic number.

58142601600 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 58142601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101042042010).

58142601600 is an abundant number, since it is smaller than the sum of its proper divisors (143941482420).

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

58142601600 is a wasteful number, since it uses less digits than its factorization.

58142601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 58142601600 in words is "fifty-eight billion, one hundred forty-two million, six hundred one thousand, six hundred".