55198170316800 has 1920 divisors, whose sum is σ = 235548400961280. Its totient is φ = 12517244928000.

The previous prime is 55198170316777. The next prime is 55198170316847. The reversal of 55198170316800 is 861307189155.

It is a happy number.

55198170316800 is a `hidden beast` number, since 5 + 519 + 8 + 17 + 0 + 31 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×55198170316800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 70137446007 + ... + 70137446793.

It is an arithmetic number, because the mean of its divisors is an integer number (122681458834).

Almost surely, 2^{55198170316800} is an apocalyptic number.

55198170316800 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 55198170316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117774200480640).

55198170316800 is an abundant number, since it is smaller than the sum of its proper divisors (180350230644480).

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

55198170316800 is an equidigital number, since it uses as much as digits as its factorization.

55198170316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 55198170316800 in words is "fifty-five trillion, one hundred ninety-eight billion, one hundred seventy million, three hundred sixteen thousand, eight hundred".