5216481625440 has 192 divisors, whose sum is σ = 17400072231360. Its totient is φ = 1309116334080.

The previous prime is 5216481625417. The next prime is 5216481625447. The reversal of 5216481625440 is 445261846125.

It is a super-3 number, since 3×5216481625440³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5216481625440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216481625447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121799230 + ... + 121842050.

It is an arithmetic number, because the mean of its divisors is an integer number (90625376205).

Almost surely, 2^{5216481625440} 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 5216481625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700036115680).

5216481625440 is an abundant number, since it is smaller than the sum of its proper divisors (12183590605920).

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

5216481625440 is a wasteful number, since it uses less digits than its factorization.

5216481625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57785 (or 57777 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 5216481625440 in words is "five trillion, two hundred sixteen billion, four hundred eighty-one million, six hundred twenty-five thousand, four hundred forty".