5258051526000 has 1920 divisors, whose sum is σ = 22739834557440. Its totient is φ = 1032901632000.

The previous prime is 5258051525983. The next prime is 5258051526001. The reversal of 5258051526000 is 6251508525.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5258051526000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258051526001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4429697407 + ... + 4429698593.

It is an arithmetic number, because the mean of its divisors is an integer number (11843663832).

Almost surely, 2^{5258051526000} is an apocalyptic number.

5258051526000 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 5258051526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369917278720).

5258051526000 is an abundant number, since it is smaller than the sum of its proper divisors (17481783031440).

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

5258051526000 is a wasteful number, since it uses less digits than its factorization.

5258051526000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 5258051526000 in words is "five trillion, two hundred fifty-eight billion, fifty-one million, five hundred twenty-six thousand".