505516051600 has 120 divisors (see below), whose sum is σ = 1388530110528. Its totient is φ = 173253926400.

The previous prime is 505516051553. The next prime is 505516051603. The reversal of 505516051600 is 6150615505.

It is not an unprimeable number, because it can be changed into a prime (505516051603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7641867 + ... + 7707733.

Almost surely, 2^505516051600 is an apocalyptic number.

505516051600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505516051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694265055264).

505516051600 is an abundant number, since it is smaller than the sum of its proper divisors (883014058928).

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

505516051600 is a wasteful number, since it uses less digits than its factorization.

505516051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68633 (or 68622 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 505516051600 in words is "five hundred five billion, five hundred sixteen million, fifty-one thousand, six hundred".