5258388920400 has 1440 divisors, whose sum is σ = 25001449804800. Its totient is φ = 1035122457600.

The previous prime is 5258388920399. The next prime is 5258388920417. The reversal of 5258388920400 is 40298838525.

It is a happy number.

5258388920400 is a `hidden beast` number, since 5 + 2 + 58 + 388 + 9 + 204 + 0 + 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, 110579029 + ... + 110626571.

It is an arithmetic number, because the mean of its divisors is an integer number (17362117920).

Almost surely, 2^{5258388920400} is an apocalyptic number.

5258388920400 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 5258388920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500724902400).

5258388920400 is an abundant number, since it is smaller than the sum of its proper divisors (19743060884400).

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

5258388920400 is a wasteful number, since it uses less digits than its factorization.

5258388920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47614 (or 47590 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5258388920400 in words is "five trillion, two hundred fifty-eight billion, three hundred eighty-eight million, nine hundred twenty thousand, four hundred".