552284780544 has 960 divisors, whose sum is σ = 2023236895680. Its totient is φ = 146512281600.

The previous prime is 552284780497. The next prime is 552284780563. The reversal of 552284780544 is 445087482255.

552284780544 is a `hidden beast` number, since 5 + 5 + 2 + 28 + 4 + 78 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1993807734 + ... + 1993808010.

It is an arithmetic number, because the mean of its divisors is an integer number (2107538433).

Almost surely, 2^552284780544 is an apocalyptic number.

552284780544 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 552284780544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011618447840).

552284780544 is an abundant number, since it is smaller than the sum of its proper divisors (1470952115136).

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

552284780544 is a wasteful number, since it uses less digits than its factorization.

552284780544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 552284780544 in words is "five hundred fifty-two billion, two hundred eighty-four million, seven hundred eighty thousand, five hundred forty-four".