55090235200 has 1008 divisors, whose sum is σ = 190011588480. Its totient is φ = 15287500800.

The previous prime is 55090235143. The next prime is 55090235201. The reversal of 55090235200 is 253209055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55090235201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 933732771 + ... + 933732829.

It is an arithmetic number, because the mean of its divisors is an integer number (188503560).

Almost surely, 2^55090235200 is an apocalyptic number.

55090235200 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 55090235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95005794240).

55090235200 is an abundant number, since it is smaller than the sum of its proper divisors (134921353280).

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

55090235200 is a wasteful number, since it uses less digits than its factorization.

55090235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 55090235200 in words is "fifty-five billion, ninety million, two hundred thirty-five thousand, two hundred".