55665561600 has 1404 divisors, whose sum is σ = 243215690640. Its totient is φ = 12032409600.

The previous prime is 55665561563. The next prime is 55665561641. The reversal of 55665561600 is 616556655.

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 107 ways as a sum of consecutive naturals, for example, 2929766391 + ... + 2929766409.

Almost surely, 2^55665561600 is an apocalyptic number.

55665561600 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 55665561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121607845320).

55665561600 is an abundant number, since it is smaller than the sum of its proper divisors (187550129040).

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

55665561600 is a wasteful number, since it uses less digits than its factorization.

55665561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 55665561600 in words is "fifty-five billion, six hundred sixty-five million, five hundred sixty-one thousand, six hundred".