55375200 has 108 divisors (see below), whose sum is σ = 195292188. Its totient is φ = 14764800.

The previous prime is 55375189. The next prime is 55375211. The reversal of 55375200 is 257355.

55375200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55375189) and next prime (55375211).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3355 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (1808261).

Almost surely, 2^55375200 is an apocalyptic number.

55375200 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 55375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97646094).

55375200 is an abundant number, since it is smaller than the sum of its proper divisors (139916988).

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

55375200 is a wasteful number, since it uses less digits than its factorization.

55375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 55375200 is about 7441.4514713193. The cubic root of 55375200 is about 381.1580554056.

The spelling of 55375200 in words is "fifty-five million, three hundred seventy-five thousand, two hundred".