505510156402272 has 216 divisors, whose sum is σ = 1679184441246312. Its totient is φ = 143832171571200.

The previous prime is 505510156402271. The next prime is 505510156402367. The reversal of 505510156402272 is 272204651015505.

505510156402272 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 10 + 1 + 564 + 0 + 2 + 2 + 72 = 666.

It is a super-2 number, since 2×505510156402272² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505510156402271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70917054 + ... + 77719037.

It is an arithmetic number, because the mean of its divisors is an integer number (7774002042807).

Almost surely, 2^{505510156402272} is an apocalyptic number.

It is an amenable number.

505510156402272 is an abundant number, since it is smaller than the sum of its proper divisors (1173674284844040).

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

505510156402272 is a wasteful number, since it uses less digits than its factorization.

505510156402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148636362 (or 148636344 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 505510156402272 in words is "five hundred five trillion, five hundred ten billion, one hundred fifty-six million, four hundred two thousand, two hundred seventy-two".