505541675520 has 640 divisors, whose sum is σ = 2056451950080. Its totient is φ = 115316490240.

The previous prime is 505541675497. The next prime is 505541675531. The reversal of 505541675520 is 25576145505.

505541675520 is a `hidden beast` number, since 5 + 0 + 5 + 54 + 1 + 6 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 368201554 + ... + 368202926.

It is an arithmetic number, because the mean of its divisors is an integer number (3213206172).

Almost surely, 2^505541675520 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 505541675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028225975040).

505541675520 is an abundant number, since it is smaller than the sum of its proper divisors (1550910274560).

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

505541675520 is a wasteful number, since it uses less digits than its factorization.

505541675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 505541675520 in words is "five hundred five billion, five hundred forty-one million, six hundred seventy-five thousand, five hundred twenty".