551266475760 has 3360 divisors, whose sum is σ = 2803365573120. Its totient is φ = 98761420800.

The previous prime is 551266475729. The next prime is 551266475783. The reversal of 551266475760 is 67574662155.

It is a happy number.

551266475760 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 6 + 64 + 7 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 551266475697 and 551266475706.

It is a congruent number.

It is an unprimeable number.

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 671 ways as a sum of consecutive naturals, for example, 7764316525 + ... + 7764316595.

It is an arithmetic number, because the mean of its divisors is an integer number (834334992).

Almost surely, 2^551266475760 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 551266475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401682786560).

551266475760 is an abundant number, since it is smaller than the sum of its proper divisors (2252099097360).

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

551266475760 is a wasteful number, since it uses less digits than its factorization.

551266475760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 551266475760 in words is "five hundred fifty-one billion, two hundred sixty-six million, four hundred seventy-five thousand, seven hundred sixty".