55506192 has 80 divisors (see below), whose sum is σ = 164810880. Its totient is φ = 15768576.

The previous prime is 55506149. The next prime is 55506193. The reversal of 55506192 is 29160555.

55506192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55506192³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (55506193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77934 + ... + 78642.

It is an arithmetic number, because the mean of its divisors is an integer number (2060136).

Almost surely, 2^55506192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55506192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82405440).

55506192 is an abundant number, since it is smaller than the sum of its proper divisors (109304688).

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

55506192 is a wasteful number, since it uses less digits than its factorization.

55506192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 55506192 is about 7450.2477811144. The cubic root of 55506192 is about 381.4583663650.

The spelling of 55506192 in words is "fifty-five million, five hundred six thousand, one hundred ninety-two".