552384645120000 has 6300 divisors, whose sum is σ = 2666418774088608. Its totient is φ = 111078604800000.

The previous prime is 552384645119971. The next prime is 552384645120013. The reversal of 552384645120000 is 21546483255.

552384645120000 is a `hidden beast` number, since 5 + 5 + 2 + 384 + 64 + 5 + 1 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6300).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 17818859519985 + ... + 17818859520015.

Almost surely, 2^{552384645120000} is an apocalyptic number.

552384645120000 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 552384645120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333209387044304).

552384645120000 is an abundant number, since it is smaller than the sum of its proper divisors (2114034128968608).

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

552384645120000 is an frugal number, since it uses more digits than its factorization.

552384645120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 552384645120000 in words is "five hundred fifty-two trillion, three hundred eighty-four billion, six hundred forty-five million, one hundred twenty thousand".