552893257728 has 1152 divisors, whose sum is σ = 2003339520000. Its totient is φ = 152165744640.

The previous prime is 552893257699. The next prime is 552893257747. The reversal of 552893257728 is 827752398255.

552893257728 is a `hidden beast` number, since 5 + 5 + 2 + 8 + 9 + 32 + 577 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 95 ways as a sum of consecutive naturals, for example, 6998648793 + ... + 6998648871.

It is an arithmetic number, because the mean of its divisors is an integer number (1739010000).

Almost surely, 2^552893257728 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 552893257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760000).

552893257728 is an abundant number, since it is smaller than the sum of its proper divisors (1450446262272).

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

552893257728 is an frugal number, since it uses more digits than its factorization.

552893257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 132 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 552893257728 in words is "five hundred fifty-two billion, eight hundred ninety-three million, two hundred fifty-seven thousand, seven hundred twenty-eight".