505970476128 has 240 divisors, whose sum is σ = 1696777346880. Its totient is φ = 146525220864.

The previous prime is 505970476097. The next prime is 505970476133. The reversal of 505970476128 is 821674079505.

505970476128 is a `hidden beast` number, since 5 + 0 + 597 + 0 + 47 + 6 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×505970476128² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131193 + ... + 1014471.

It is an arithmetic number, because the mean of its divisors is an integer number (7069905612).

Almost surely, 2^505970476128 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 505970476128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848388673440).

505970476128 is an abundant number, since it is smaller than the sum of its proper divisors (1190806870752).

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

505970476128 is a wasteful number, since it uses less digits than its factorization.

505970476128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883331 (or 883314 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 505970476128 in words is "five hundred five billion, nine hundred seventy million, four hundred seventy-six thousand, one hundred twenty-eight".