551756795760 has 320 divisors, whose sum is σ = 1914806016000. Its totient is φ = 146031621120.

The previous prime is 551756795749. The next prime is 551756795761. The reversal of 551756795760 is 67597657155.

551756795760 is a `hidden beast` number, since 5 + 5 + 1 + 7 + 56 + 7 + 9 + 576 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551756795761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 170873826 + ... + 170877054.

It is an arithmetic number, because the mean of its divisors is an integer number (5983768800).

Almost surely, 2^551756795760 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 551756795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957403008000).

551756795760 is an abundant number, since it is smaller than the sum of its proper divisors (1363049220240).

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

551756795760 is a wasteful number, since it uses less digits than its factorization.

551756795760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 69457500, while the sum is 63.

The spelling of 551756795760 in words is "five hundred fifty-one billion, seven hundred fifty-six million, seven hundred ninety-five thousand, seven hundred sixty".