5257316617344 has 576 divisors, whose sum is σ = 17801378999040. Its totient is φ = 1541700864000.

The previous prime is 5257316617327. The next prime is 5257316617363. The reversal of 5257316617344 is 4437166137525.

5257316617344 is a `hidden beast` number, since 5 + 2 + 5 + 7 + 3 + 16 + 617 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5257316617344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116648574 + ... + 116693634.

Almost surely, 2^{5257316617344} is an apocalyptic number.

5257316617344 is a gapful number since it is divisible by the number (54) 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 5257316617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900689499520).

5257316617344 is an abundant number, since it is smaller than the sum of its proper divisors (12544062381696).

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

5257316617344 is a wasteful number, since it uses less digits than its factorization.

5257316617344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45143 (or 45108 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 5257316617344 in words is "five trillion, two hundred fifty-seven billion, three hundred sixteen million, six hundred seventeen thousand, three hundred forty-four".