5329117440000 has 960 divisors, whose sum is σ = 19833926112000. Its totient is φ = 1413365760000.

The previous prime is 5329117439953. The next prime is 5329117440029. The reversal of 5329117440000 is 447119235.

5329117440000 is a `hidden beast` number, since 532 + 9 + 11 + 74 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×5329117440000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9365759716 + ... + 9365760284.

It is an arithmetic number, because the mean of its divisors is an integer number (20660339700).

Almost surely, 2^{5329117440000} is an apocalyptic number.

5329117440000 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 5329117440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9916963056000).

5329117440000 is an abundant number, since it is smaller than the sum of its proper divisors (14504808672000).

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

5329117440000 is an equidigital number, since it uses as much as digits as its factorization.

5329117440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5329117440000 in words is "five trillion, three hundred twenty-nine billion, one hundred seventeen million, four hundred forty thousand".