505454771520 has 336 divisors, whose sum is σ = 1807880265360. Its totient is φ = 129461649408.

The previous prime is 505454771477. The next prime is 505454771531. The reversal of 505454771520 is 25177454505.

505454771520 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 54 + 7 + 71 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2081549376 + 503373222144 = 45624^2 + 709488^2 .

It is a super-2 number, since 2×505454771520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16103682 + ... + 16135038.

Almost surely, 2^505454771520 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 505454771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903940132680).

505454771520 is an abundant number, since it is smaller than the sum of its proper divisors (1302425493840).

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

505454771520 is a wasteful number, since it uses less digits than its factorization.

505454771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31602 (or 31589 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 45.

It can be divided in two parts, 50545 and 4771520, that added together give a triangular number (4822065 = T₃₁₀₅).

The spelling of 505454771520 in words is "five hundred five billion, four hundred fifty-four million, seven hundred seventy-one thousand, five hundred twenty".