55417016191200 has 288 divisors, whose sum is σ = 190942072675200. Its totient is φ = 13936467793920.

The previous prime is 55417016191193. The next prime is 55417016191211. The reversal of 55417016191200 is 219161071455.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6265590 + ... + 12251189.

It is an arithmetic number, because the mean of its divisors is an integer number (662993307900).

Almost surely, 2^{55417016191200} is an apocalyptic number.

55417016191200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55417016191200 is an abundant number, since it is smaller than the sum of its proper divisors (135525056484000).

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

55417016191200 is a wasteful number, since it uses less digits than its factorization.

55417016191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516874 (or 18516861 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 55417016191200 in words is "fifty-five trillion, four hundred seventeen billion, sixteen million, one hundred ninety-one thousand, two hundred".