5331101344000 has 288 divisors, whose sum is σ = 13618168068960. Its totient is φ = 2078834688000.

The previous prime is 5331101343991. The next prime is 5331101344001. The reversal of 5331101344000 is 4431011335.

It can be written as a sum of positive squares in 16 ways, for example, as 4979253067776 + 351848276224 = 2231424^2 + 593168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5331101344001) 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, 220563916 + ... + 220588084.

It is an arithmetic number, because the mean of its divisors is an integer number (47285305795).

Almost surely, 2^{5331101344000} is an apocalyptic number.

5331101344000 is a gapful number since it is divisible by the number (50) 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 5331101344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809084034480).

5331101344000 is an abundant number, since it is smaller than the sum of its proper divisors (8287066724960).

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

5331101344000 is a wasteful number, since it uses less digits than its factorization.

5331101344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24374 (or 24350 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 5331101344000 its reverse (4431011335), we get a palindrome (5335532355335).

The spelling of 5331101344000 in words is "five trillion, three hundred thirty-one billion, one hundred one million, three hundred forty-four thousand".