555616713600 has 960 divisors, whose sum is σ = 2222703362880. Its totient is φ = 135862272000.

The previous prime is 555616713599. The next prime is 555616713611. The reversal of 555616713600 is 6317616555.

555616713600 is a `hidden beast` number, since 5 + 556 + 1 + 67 + 1 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×555616713600³ (a number of 36 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 609897145 + ... + 609898055.

It is an arithmetic number, because the mean of its divisors is an integer number (2315316003).

Almost surely, 2^555616713600 is an apocalyptic number.

555616713600 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 555616713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111351681440).

555616713600 is an abundant number, since it is smaller than the sum of its proper divisors (1667086649280).

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

555616713600 is a wasteful number, since it uses less digits than its factorization.

555616713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 555616713600 in words is "five hundred fifty-five billion, six hundred sixteen million, seven hundred thirteen thousand, six hundred".