5301257486976 has 512 divisors, whose sum is σ = 17331666681600. Its totient is φ = 1601562378240.

The previous prime is 5301257486939. The next prime is 5301257487013. The reversal of 5301257486976 is 6796847521035.

5301257486976 is a `hidden beast` number, since 5 + 3 + 0 + 12 + 57 + 486 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5301257486939) and next prime (5301257487013).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086989050 + ... + 1086993926.

It is a 1-persistent number, because it is pandigital, but 2⋅5301257486976 = 10602514973952 is not.

Almost surely, 2^{5301257486976} 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 5301257486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665833340800).

5301257486976 is an abundant number, since it is smaller than the sum of its proper divisors (12030409194624).

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

5301257486976 is an equidigital number, since it uses as much as digits as its factorization.

5301257486976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5301257486976 in words is "five trillion, three hundred one billion, two hundred fifty-seven million, four hundred eighty-six thousand, nine hundred seventy-six".