505375303680 has 1152 divisors, whose sum is σ = 2073456403200. Its totient is φ = 116955021312.

The previous prime is 505375303673. The next prime is 505375303733. The reversal of 505375303680 is 86303573505.

505375303680 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 7 + 530 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 95 ways as a sum of consecutive naturals, for example, 549918261 + ... + 549919179.

It is an arithmetic number, because the mean of its divisors is an integer number (1799875350).

Almost surely, 2^505375303680 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 505375303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036728201600).

505375303680 is an abundant number, since it is smaller than the sum of its proper divisors (1568081099520).

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

505375303680 is a wasteful number, since it uses less digits than its factorization.

505375303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 505375303680 in words is "five hundred five billion, three hundred seventy-five million, three hundred three thousand, six hundred eighty".