55925280 has 144 divisors (see below), whose sum is σ = 193886784. Its totient is φ = 14676480.

The previous prime is 55925279. The next prime is 55925281. The reversal of 55925280 is 8252955.

55925280 is a `hidden beast` number, since 559 + 25 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (55925279) and next prime (55925281).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (55925281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101967 + ... + 102513.

It is an arithmetic number, because the mean of its divisors is an integer number (1346436).

Almost surely, 2^55925280 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 55925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96943392).

55925280 is an abundant number, since it is smaller than the sum of its proper divisors (137961504).

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

55925280 is a wasteful number, since it uses less digits than its factorization.

55925280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55925280 is about 7478.3206671017. The cubic root of 55925280 is about 382.4160010344.

The spelling of 55925280 in words is "fifty-five million, nine hundred twenty-five thousand, two hundred eighty".