551105105600 has 84 divisors (see below), whose sum is σ = 1549786317744. Its totient is φ = 188950318080.

The previous prime is 551105105597. The next prime is 551105105623. The reversal of 551105105600 is 6501501155.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24591707 + ... + 24614106.

It is an arithmetic number, because the mean of its divisors is an integer number (18449837116).

Almost surely, 2^551105105600 is an apocalyptic number.

551105105600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

551105105600 is an abundant number, since it is smaller than the sum of its proper divisors (998681212144).

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

551105105600 is a wasteful number, since it uses less digits than its factorization.

551105105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49205842 (or 49205827 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

Adding to 551105105600 its reverse (6501501155), we get a palindrome (557606606755).

The spelling of 551105105600 in words is "five hundred fifty-one billion, one hundred five million, one hundred five thousand, six hundred".