5211648718848 has 1920 divisors, whose sum is σ = 19925082777600. Its totient is φ = 1332943257600.

The previous prime is 5211648718841. The next prime is 5211648718901. The reversal of 5211648718848 is 8488178461125.

5211648718848 is a `hidden beast` number, since 5 + 21 + 16 + 487 + 1 + 88 + 48 = 666.

It is a super-2 number, since 2×5211648718848² (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 (5211648718841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13972248390 + ... + 13972248762.

It is an arithmetic number, because the mean of its divisors is an integer number (10377647280).

Almost surely, 2^{5211648718848} 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 5211648718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962541388800).

5211648718848 is an abundant number, since it is smaller than the sum of its proper divisors (14713434058752).

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

5211648718848 is a wasteful number, since it uses less digits than its factorization.

5211648718848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 452 counting only the distinct ones).

The product of its digits is 27525120, while the sum is 63.

The spelling of 5211648718848 in words is "five trillion, two hundred eleven billion, six hundred forty-eight million, seven hundred eighteen thousand, eight hundred forty-eight".