55181952 has 128 divisors (see below), whose sum is σ = 186211200. Its totient is φ = 15759360.

The previous prime is 55181939. The next prime is 55181999. The reversal of 55181952 is 25918155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-5 number, since 5×55181952⁵ (a number of 40 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23052 + ... + 25332.

It is an arithmetic number, because the mean of its divisors is an integer number (1454775).

Almost surely, 2^55181952 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 55181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93105600).

55181952 is an abundant number, since it is smaller than the sum of its proper divisors (131029248).

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

55181952 is a wasteful number, since it uses less digits than its factorization.

55181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2293 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 55181952 is about 7428.4555595359. The cubic root of 55181952 is about 380.7141510214.

The spelling of 55181952 in words is "fifty-five million, one hundred eighty-one thousand, nine hundred fifty-two".