5181952163840 has 272 divisors, whose sum is σ = 13349587641408. Its totient is φ = 1923977576448.

The previous prime is 5181952163833. The next prime is 5181952163867. The reversal of 5181952163840 is 483612591815.

It is a tau number, because it is divible by the number of its divisors (272).

It is a super-3 number, since 3×5181952163840³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406644509 + ... + 406657251.

Almost surely, 2^{5181952163840} 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 5181952163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674793820704).

5181952163840 is an abundant number, since it is smaller than the sum of its proper divisors (8167635477568).

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

5181952163840 is an equidigital number, since it uses as much as digits as its factorization.

5181952163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12870 (or 12840 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 53.

The spelling of 5181952163840 in words is "five trillion, one hundred eighty-one billion, nine hundred fifty-two million, one hundred sixty-three thousand, eight hundred forty".