58142355258240 has 2304 divisors, whose sum is σ = 247535096739840. Its totient is φ = 12918262579200.

The previous prime is 58142355258233. The next prime is 58142355258269. The reversal of 58142355258240 is 4285255324185.

58142355258240 is a `hidden beast` number, since 5 + 8 + 1 + 4 + 2 + 3 + 5 + 52 + 582 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19144666002 + ... + 19144669038.

It is an arithmetic number, because the mean of its divisors is an integer number (107437107960).

Almost surely, 2^{58142355258240} 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 58142355258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123767548369920).

58142355258240 is an abundant number, since it is smaller than the sum of its proper divisors (189392741481600).

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

58142355258240 is a wasteful number, since it uses less digits than its factorization.

58142355258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 58142355258240 in words is "fifty-eight trillion, one hundred forty-two billion, three hundred fifty-five million, two hundred fifty-eight thousand, two hundred forty".