552825393120 has 1536 divisors, whose sum is σ = 2651927040000. Its totient is φ = 105995796480.

The previous prime is 552825393101. The next prime is 552825393121. The reversal of 552825393120 is 21393528255.

552825393120 is a `hidden beast` number, since 5 + 5 + 2 + 82 + 539 + 31 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552825393121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211890376 + ... + 211892984.

It is an arithmetic number, because the mean of its divisors is an integer number (1726515000).

Almost surely, 2^552825393120 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 552825393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325963520000).

552825393120 is an abundant number, since it is smaller than the sum of its proper divisors (2099101646880).

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

552825393120 is a wasteful number, since it uses less digits than its factorization.

552825393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 552825393120 in words is "five hundred fifty-two billion, eight hundred twenty-five million, three hundred ninety-three thousand, one hundred twenty".