5555076508800 has 4608 divisors, whose sum is σ = 27997208064000. Its totient is φ = 1047562813440.

The previous prime is 5555076508771. The next prime is 5555076508819. The reversal of 5555076508800 is 88056705555.

It is a happy number.

5555076508800 is a `hidden beast` number, since 5 + 5 + 5 + 50 + 7 + 6 + 508 + 80 + 0 = 666.

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

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 575 ways as a sum of consecutive naturals, for example, 39964579131 + ... + 39964579269.

It is an arithmetic number, because the mean of its divisors is an integer number (6075783000).

Almost surely, 2^{5555076508800} is an apocalyptic number.

5555076508800 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 5555076508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998604032000).

5555076508800 is an abundant number, since it is smaller than the sum of its proper divisors (22442131555200).

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

5555076508800 is a wasteful number, since it uses less digits than its factorization.

5555076508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 8400000, while the sum is 54.

The spelling of 5555076508800 in words is "five trillion, five hundred fifty-five billion, seventy-six million, five hundred eight thousand, eight hundred".