5241317621760 has 1584 divisors, whose sum is σ = 21929896458288. Its totient is φ = 1195879956480.

The previous prime is 5241317621753. The next prime is 5241317621767. The reversal of 5241317621760 is 671267131425.

5241317621760 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 3 + 17 + 621 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5241317621753) and next prime (5241317621767).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241317621767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 308312801272 + ... + 308312801288.

Almost surely, 2^{5241317621760} 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 5241317621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964948229144).

5241317621760 is an abundant number, since it is smaller than the sum of its proper divisors (16688578836528).

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

5241317621760 is an frugal number, since it uses more digits than its factorization.

5241317621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 5241317621760 in words is "five trillion, two hundred forty-one billion, three hundred seventeen million, six hundred twenty-one thousand, seven hundred sixty".