58023252000000 has 3024 divisors, whose sum is σ = 252430768844800. Its totient is φ = 12802406400000.

The previous prime is 58023251999959. The next prime is 58023252000017. The reversal of 58023252000000 is 25232085.

58023252000000 is a `hidden beast` number, since 580 + 2 + 32 + 52 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×58023252000000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 456875999937 + ... + 456876000063.

Almost surely, 2^{58023252000000} is an apocalyptic number.

58023252000000 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 58023252000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126215384422400).

58023252000000 is an abundant number, since it is smaller than the sum of its proper divisors (194407516844800).

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

58023252000000 is an frugal number, since it uses more digits than its factorization.

58023252000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 58023252000000 its reverse (25232085), we get a palindrome (58023277232085).

The spelling of 58023252000000 in words is "fifty-eight trillion, twenty-three billion, two hundred fifty-two million", and thus it is an aban number.