5336575552000 has 1280 divisors, whose sum is σ = 17472664535040. Its totient is φ = 1576329216000.

The previous prime is 5336575551961. The next prime is 5336575552039. The reversal of 5336575552000 is 2555756335.

It is an interprime number because it is at equal distance from previous prime (5336575551961) and next prime (5336575552039).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22328767881 + ... + 22328768119.

It is an arithmetic number, because the mean of its divisors is an integer number (13650519168).

Almost surely, 2^{5336575552000} is an apocalyptic number.

5336575552000 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 5336575552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736332267520).

5336575552000 is an abundant number, since it is smaller than the sum of its proper divisors (12136088983040).

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

5336575552000 is a wasteful number, since it uses less digits than its factorization.

5336575552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2362500, while the sum is 46.

The spelling of 5336575552000 in words is "five trillion, three hundred thirty-six billion, five hundred seventy-five million, five hundred fifty-two thousand".