552813133824 has 1088 divisors, whose sum is σ = 2063581824000. Its totient is φ = 144473849856.

The previous prime is 552813133793. The next prime is 552813133861. The reversal of 552813133824 is 428331318255.

552813133824 is a `hidden beast` number, since 5 + 5 + 281 + 31 + 338 + 2 + 4 = 666.

Its product of digits (691200) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 552813133824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19062521842 + ... + 19062521870.

Almost surely, 2^552813133824 is an apocalyptic number.

552813133824 is a gapful number since it is divisible by the number (54) 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 552813133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031790912000).

552813133824 is an abundant number, since it is smaller than the sum of its proper divisors (1510768690176).

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

552813133824 is an frugal number, since it uses more digits than its factorization.

552813133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 552813133824 in words is "five hundred fifty-two billion, eight hundred thirteen million, one hundred thirty-three thousand, eight hundred twenty-four".