551025689760 has 1728 divisors, whose sum is σ = 2474259903360. Its totient is φ = 114124308480.

The previous prime is 551025689759. The next prime is 551025689771. The reversal of 551025689760 is 67986520155.

551025689760 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 2 + 568 + 9 + 76 + 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 = 551025689697 and 551025689706.

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 287 ways as a sum of consecutive naturals, for example, 2611496055 + ... + 2611496265.

It is an arithmetic number, because the mean of its divisors is an integer number (1431863370).

Almost surely, 2^551025689760 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 551025689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237129951680).

551025689760 is an abundant number, since it is smaller than the sum of its proper divisors (1923234213600).

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

551025689760 is a wasteful number, since it uses less digits than its factorization.

551025689760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 551025689760 in words is "five hundred fifty-one billion, twenty-five million, six hundred eighty-nine thousand, seven hundred sixty".