555977985413760 has 2304 divisors, whose sum is σ = 2634399333165600. Its totient is φ = 106597523128320.

The previous prime is 555977985413717. The next prime is 555977985413779. The reversal of 555977985413760 is 67314589779555.

555977985413760 is a `hidden beast` number, since 5 + 5 + 5 + 9 + 7 + 7 + 9 + 8 + 541 + 3 + 7 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 184535539776 + 555793449873984 = 429576^2 + 23575272^2 .

It is a super-2 number, since 2×555977985413760² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 555977985413760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1808722480 + ... + 1809029840.

Almost surely, 2^{555977985413760} 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 555977985413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317199666582800).

555977985413760 is an abundant number, since it is smaller than the sum of its proper divisors (2078421347751840).

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

555977985413760 is a wasteful number, since it uses less digits than its factorization.

555977985413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307459 (or 307437 counting only the distinct ones).

The product of its (nonzero) digits is 10001880000, while the sum is 81.

The spelling of 555977985413760 in words is "five hundred fifty-five trillion, nine hundred seventy-seven billion, nine hundred eighty-five million, four hundred thirteen thousand, seven hundred sixty".