5298822144000 has 3584 divisors, whose sum is σ = 25909150924800. Its totient is φ = 1035141120000.

The previous prime is 5298822143999. The next prime is 5298822144023. The reversal of 5298822144000 is 4412288925.

5298822144000 is a `hidden beast` number, since 5 + 29 + 8 + 8 + 2 + 214 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-3 number, since 3×5298822144000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40449023935 + ... + 40449024065.

Almost surely, 2^{5298822144000} is an apocalyptic number.

5298822144000 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 5298822144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954575462400).

5298822144000 is an abundant number, since it is smaller than the sum of its proper divisors (20610328780800).

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

5298822144000 is a wasteful number, since it uses less digits than its factorization.

5298822144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5298822144000 in words is "five trillion, two hundred ninety-eight billion, eight hundred twenty-two million, one hundred forty-four thousand".