555761606400 has 4536 divisors, whose sum is σ = 2984416266384. Its totient is φ = 100329062400.

The previous prime is 555761606347. The next prime is 555761606447. The reversal of 555761606400 is 4606167555.

555761606400 is a `hidden beast` number, since 5 + 5 + 576 + 16 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 503 ways as a sum of consecutive naturals, for example, 32691859192 + ... + 32691859208.

It is an arithmetic number, because the mean of its divisors is an integer number (657940094).

Almost surely, 2^555761606400 is an apocalyptic number.

555761606400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555761606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492208133192).

555761606400 is an abundant number, since it is smaller than the sum of its proper divisors (2428654659984).

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

555761606400 is a wasteful number, since it uses less digits than its factorization.

555761606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 555761606400 in words is "five hundred fifty-five billion, seven hundred sixty-one million, six hundred six thousand, four hundred".