505226146600 has 96 divisors (see below), whose sum is σ = 1400825877120. Its totient is φ = 165689061120.

The previous prime is 505226146597. The next prime is 505226146609. The reversal of 505226146600 is 6641622505.

It is a self number, because there is not a number n which added to its sum of digits gives 505226146600.

It is not an unprimeable number, because it can be changed into a prime (505226146609) 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, 7812927 + ... + 7877326.

It is an arithmetic number, because the mean of its divisors is an integer number (14591936220).

Almost surely, 2^505226146600 is an apocalyptic number.

505226146600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505226146600 is an abundant number, since it is smaller than the sum of its proper divisors (895599730520).

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

505226146600 is a wasteful number, since it uses less digits than its factorization.

505226146600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690299 (or 15690290 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 505226146600 in words is "five hundred five billion, two hundred twenty-six million, one hundred forty-six thousand, six hundred".