552009316884480 has 5376 divisors, whose sum is σ = 2532300218413056. Its totient is φ = 112276820459520.

The previous prime is 552009316884439. The next prime is 552009316884481. The reversal of 552009316884480 is 84488613900255.

552009316884480 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 0 + 93 + 1 + 68 + 8 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552009316884481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5359313756109 + ... + 5359313756211.

It is an arithmetic number, because the mean of its divisors is an integer number (471037987056).

Almost surely, 2^{552009316884480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552009316884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266150109206528).

552009316884480 is an abundant number, since it is smaller than the sum of its proper divisors (1980290901528576).

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

552009316884480 is a wasteful number, since it uses less digits than its factorization.

552009316884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 552009316884480 in words is "five hundred fifty-two trillion, nine billion, three hundred sixteen million, eight hundred eighty-four thousand, four hundred eighty".