5133775440000 has 640 divisors, whose sum is σ = 17391221527680. Its totient is φ = 1341112320000.

The previous prime is 5133775439921. The next prime is 5133775440023. The reversal of 5133775440000 is 445773315.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2397838930 + ... + 2397841070.

It is an arithmetic number, because the mean of its divisors is an integer number (27173783637).

Almost surely, 2^{5133775440000} is an apocalyptic number.

5133775440000 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 5133775440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695610763840).

5133775440000 is an abundant number, since it is smaller than the sum of its proper divisors (12257446087680).

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

5133775440000 is a wasteful number, since it uses less digits than its factorization.

5133775440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 5133775440000 in words is "five trillion, one hundred thirty-three billion, seven hundred seventy-five million, four hundred forty thousand".