552253611810672 has 240 divisors, whose sum is σ = 1615388305227840. Its totient is φ = 175791871377408.

The previous prime is 552253611810661. The next prime is 552253611810713. The reversal of 552253611810672 is 276018116352255.

552253611810672 is a `hidden beast` number, since 5 + 5 + 2 + 2 + 5 + 3 + 611 + 8 + 10 + 6 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16720247854 + ... + 16720280882.

It is an arithmetic number, because the mean of its divisors is an integer number (6730784605116).

Almost surely, 2^{552253611810672} 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 552253611810672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807694152613920).

552253611810672 is an abundant number, since it is smaller than the sum of its proper divisors (1063134693417168).

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

552253611810672 is a wasteful number, since it uses less digits than its factorization.

552253611810672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41200 (or 41191 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 552253611810672 in words is "five hundred fifty-two trillion, two hundred fifty-three billion, six hundred eleven million, eight hundred ten thousand, six hundred seventy-two".