55505561050800 has 480 divisors, whose sum is σ = 229608171993600. Its totient is φ = 12471950730240.

The previous prime is 55505561050787. The next prime is 55505561050853. The reversal of 55505561050800 is 805016550555.

55505561050800 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 5 + 561 + 0 + 5 + 0 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1761639 + ... + 10682438.

It is an arithmetic number, because the mean of its divisors is an integer number (478350358320).

Almost surely, 2^{55505561050800} is an apocalyptic number.

55505561050800 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 55505561050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114804085996800).

55505561050800 is an abundant number, since it is smaller than the sum of its proper divisors (174102610942800).

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

55505561050800 is a wasteful number, since it uses less digits than its factorization.

55505561050800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444170 (or 12444153 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 45.

The spelling of 55505561050800 in words is "fifty-five trillion, five hundred five billion, five hundred sixty-one million, fifty thousand, eight hundred".