551759863680 has 384 divisors, whose sum is σ = 1985206579200. Its totient is φ = 141054013440.

The previous prime is 551759863663. The next prime is 551759863703. The reversal of 551759863680 is 86368957155.

551759863680 is a `hidden beast` number, since 5 + 5 + 1 + 7 + 598 + 6 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19091481 + ... + 19120359.

It is an arithmetic number, because the mean of its divisors is an integer number (5169808800).

Almost surely, 2^551759863680 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 551759863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992603289600).

551759863680 is an abundant number, since it is smaller than the sum of its proper divisors (1433446715520).

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

551759863680 is a wasteful number, since it uses less digits than its factorization.

551759863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29042 (or 29027 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 551759863680 in words is "five hundred fifty-one billion, seven hundred fifty-nine million, eight hundred sixty-three thousand, six hundred eighty".