55161691200 has 2016 divisors, whose sum is σ = 268859934720. Its totient is φ = 10857369600.

The previous prime is 55161691199. The next prime is 55161691201. The reversal of 55161691200 is 219616155.

55161691200 is a `hidden beast` number, since 5 + 516 + 16 + 9 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55161691199) and next prime (55161691201).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55161691201) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 535550349 + ... + 535550451.

Almost surely, 2^55161691200 is an apocalyptic number.

55161691200 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 55161691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134429967360).

55161691200 is an abundant number, since it is smaller than the sum of its proper divisors (213698243520).

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

55161691200 is a wasteful number, since it uses less digits than its factorization.

55161691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 55161691200 in words is "fifty-five billion, one hundred sixty-one million, six hundred ninety-one thousand, two hundred".