55311141600 has 1440 divisors, whose sum is σ = 243920388096. Its totient is φ = 12018585600.

The previous prime is 55311141593. The next prime is 55311141619. The reversal of 55311141600 is 614111355.

55311141600 is a `hidden beast` number, since 5 + 5 + 3 + 1 + 11 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 435520737 + ... + 435520863.

Almost surely, 2^55311141600 is an apocalyptic number.

55311141600 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 55311141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121960194048).

55311141600 is an abundant number, since it is smaller than the sum of its proper divisors (188609246496).

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

55311141600 is a wasteful number, since it uses less digits than its factorization.

55311141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 55311141600 its reverse (614111355), we get a palindrome (55925252955).

The spelling of 55311141600 in words is "fifty-five billion, three hundred eleven million, one hundred forty-one thousand, six hundred".