505378510848 has 768 divisors, whose sum is σ = 1660538880000. Its totient is φ = 151250042880.

The previous prime is 505378510837. The next prime is 505378510919. The reversal of 505378510848 is 848015873505.

505378510848 is a `hidden beast` number, since 5 + 0 + 53 + 78 + 510 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 505378510794 and 505378510803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921591165 + ... + 1921591427.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160000).

Almost surely, 2^505378510848 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 505378510848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830269440000).

505378510848 is an abundant number, since it is smaller than the sum of its proper divisors (1155160369152).

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

505378510848 is a wasteful number, since it uses less digits than its factorization.

505378510848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 505378510848 in words is "five hundred five billion, three hundred seventy-eight million, five hundred ten thousand, eight hundred forty-eight".