55110426320400 has 240 divisors, whose sum is σ = 192595497474240. Its totient is φ = 13359436851200.

The previous prime is 55110426320377. The next prime is 55110426320447. The reversal of 55110426320400 is 402362401155.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296497894 + ... + 296683706.

It is an arithmetic number, because the mean of its divisors is an integer number (802481239476).

Almost surely, 2^{55110426320400} is an apocalyptic number.

55110426320400 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 55110426320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96297748737120).

55110426320400 is an abundant number, since it is smaller than the sum of its proper divisors (137485071153840).

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

55110426320400 is a wasteful number, since it uses less digits than its factorization.

55110426320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208314 (or 208303 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 55110426320400 its reverse (402362401155), we get a palindrome (55512788721555).

The spelling of 55110426320400 in words is "fifty-five trillion, one hundred ten billion, four hundred twenty-six million, three hundred twenty thousand, four hundred".