505993625280 has 840 divisors, whose sum is σ = 2126398667184. Its totient is φ = 113218560000.

The previous prime is 505993625231. The next prime is 505993625381. The reversal of 505993625280 is 82526399505.

505993625280 is a `hidden beast` number, since 5 + 0 + 5 + 9 + 9 + 3 + 625 + 2 + 8 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 48180030 + ... + 48190530.

Almost surely, 2^505993625280 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 505993625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063199333592).

505993625280 is an abundant number, since it is smaller than the sum of its proper divisors (1620405041904).

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

505993625280 is a wasteful number, since it uses less digits than its factorization.

505993625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 505993625280 in words is "five hundred five billion, nine hundred ninety-three million, six hundred twenty-five thousand, two hundred eighty".