5258058624000 has 1760 divisors, whose sum is σ = 24121971409536. Its totient is φ = 1109193523200.

The previous prime is 5258058623969. The next prime is 5258058624053. The reversal of 5258058624000 is 4268508525.

It is a happy number.

5258058624000 is a `hidden beast` number, since 5 + 2 + 580 + 5 + 8 + 62 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 943485214 + ... + 943490786.

Almost surely, 2^{5258058624000} is an apocalyptic number.

5258058624000 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 5258058624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060985704768).

5258058624000 is an abundant number, since it is smaller than the sum of its proper divisors (18863912785536).

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

5258058624000 is a wasteful number, since it uses less digits than its factorization.

5258058624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 5258058624000 in words is "five trillion, two hundred fifty-eight billion, fifty-eight million, six hundred twenty-four thousand".