5241918654336 has 768 divisors, whose sum is σ = 17719523297280. Its totient is φ = 1343574835200.

The previous prime is 5241918654311. The next prime is 5241918654337. The reversal of 5241918654336 is 6334568191425.

It is a super-2 number, since 2×5241918654336² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5241918654337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8027440186 + ... + 8027440838.

It is an arithmetic number, because the mean of its divisors is an integer number (23072295960).

Almost surely, 2^{5241918654336} is an apocalyptic number.

5241918654336 is a gapful number since it is divisible by the number (56) 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 5241918654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8859761648640).

5241918654336 is an abundant number, since it is smaller than the sum of its proper divisors (12477604642944).

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

5241918654336 is a wasteful number, since it uses less digits than its factorization.

5241918654336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1150 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 57.

The spelling of 5241918654336 in words is "five trillion, two hundred forty-one billion, nine hundred eighteen million, six hundred fifty-four thousand, three hundred thirty-six".