505552215132000 has 960 divisors, whose sum is σ = 2028072800033280. Its totient is φ = 122790629376000.

The previous prime is 505552215131989. The next prime is 505552215132001. The reversal of 505552215132000 is 231512255505.

505552215132000 is a `hidden beast` number, since 5 + 0 + 5 + 552 + 21 + 51 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505552215132001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 169267596 + ... + 172228404.

It is an arithmetic number, because the mean of its divisors is an integer number (2112575833368).

Almost surely, 2^{505552215132000} is an apocalyptic number.

505552215132000 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 505552215132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014036400016640).

505552215132000 is an abundant number, since it is smaller than the sum of its proper divisors (1522520584901280).

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

505552215132000 is a wasteful number, since it uses less digits than its factorization.

505552215132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960894 (or 2960867 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

Adding to 505552215132000 its reverse (231512255505), we get a palindrome (505783727387505).

The spelling of 505552215132000 in words is "five hundred five trillion, five hundred fifty-two billion, two hundred fifteen million, one hundred thirty-two thousand".