5258496559680 has 4480 divisors, whose sum is σ = 26161472655360. Its totient is φ = 983224811520.

The previous prime is 5258496559661. The next prime is 5258496559709. The reversal of 5258496559680 is 869556948525.

5258496559680 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 4 + 9 + 6 + 559 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5258496559599 and 5258496559608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 142121528622 + ... + 142121528658.

It is an arithmetic number, because the mean of its divisors is an integer number (5839614432).

Almost surely, 2^{5258496559680} 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 5258496559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080736327680).

5258496559680 is an abundant number, since it is smaller than the sum of its proper divisors (20902976095680).

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

5258496559680 is a wasteful number, since it uses less digits than its factorization.

5258496559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 5258496559680 in words is "five trillion, two hundred fifty-eight billion, four hundred ninety-six million, five hundred fifty-nine thousand, six hundred eighty".