552065260501200 has 240 divisors, whose sum is σ = 1810977677121536. Its totient is φ = 143682343257600.

The previous prime is 552065260501169. The next prime is 552065260501289. The reversal of 552065260501200 is 2105062560255.

It is a tau number, because it is divible by the number of its divisors (240).

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, 62471937 + ... + 70759263.

Almost surely, 2^{552065260501200} is an apocalyptic number.

552065260501200 is a gapful number since it is divisible by the number (50) 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 552065260501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905488838560768).

552065260501200 is an abundant number, since it is smaller than the sum of its proper divisors (1258912416620336).

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

552065260501200 is a wasteful number, since it uses less digits than its factorization.

552065260501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288682 (or 8288671 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 552065260501200 in words is "five hundred fifty-two trillion, sixty-five billion, two hundred sixty million, five hundred one thousand, two hundred".