5113449879552 has 1152 divisors, whose sum is σ = 18294955660800. Its totient is φ = 1381101207552.

The previous prime is 5113449879497. The next prime is 5113449879553. The reversal of 5113449879552 is 2559789443115.

It is a happy number.

5113449879552 is a `hidden beast` number, since 5 + 1 + 1 + 3 + 4 + 4 + 9 + 8 + 79 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5113449879552² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (54432000) is a multiple of the sum of its prime divisors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 5113449879552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113449879553) 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, 70047258588 + ... + 70047258660.

It is an arithmetic number, because the mean of its divisors is an integer number (15881037900).

Almost surely, 2^{5113449879552} 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 5113449879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147477830400).

5113449879552 is an abundant number, since it is smaller than the sum of its proper divisors (13181505781248).

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

5113449879552 is an equidigital number, since it uses as much as digits as its factorization.

5113449879552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 189 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 5113449879552 in words is "five trillion, one hundred thirteen billion, four hundred forty-nine million, eight hundred seventy-nine thousand, five hundred fifty-two".