505516941720 has 1152 divisors, whose sum is σ = 2065106534400. Its totient is φ = 106686720000.

The previous prime is 505516941707. The next prime is 505516941737. The reversal of 505516941720 is 27149615505.

It is a happy number.

505516941720 is a `hidden beast` number, since 5 + 0 + 55 + 169 + 417 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2014011595 + ... + 2014011845.

It is an arithmetic number, because the mean of its divisors is an integer number (1792627200).

Almost surely, 2^505516941720 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 505516941720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032553267200).

505516941720 is an abundant number, since it is smaller than the sum of its proper divisors (1559589592680).

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

505516941720 is a wasteful number, since it uses less digits than its factorization.

505516941720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 505516941720 in words is "five hundred five billion, five hundred sixteen million, nine hundred forty-one thousand, seven hundred twenty".