552792431268 has 288 divisors, whose sum is σ = 1762784674560. Its totient is φ = 141885112320.

The previous prime is 552792431237. The next prime is 552792431287. The reversal of 552792431268 is 862134297255.

552792431268 is a `hidden beast` number, since 5 + 5 + 279 + 243 + 126 + 8 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 249792130 + ... + 249794342.

It is an arithmetic number, because the mean of its divisors is an integer number (6120780120).

Almost surely, 2^552792431268 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 552792431268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881392337280).

552792431268 is an abundant number, since it is smaller than the sum of its proper divisors (1209992243292).

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

552792431268 is a wasteful number, since it uses less digits than its factorization.

552792431268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3262 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 552792431268 in words is "five hundred fifty-two billion, seven hundred ninety-two million, four hundred thirty-one thousand, two hundred sixty-eight".