55014960 has 320 divisors, whose sum is σ = 229985280. Its totient is φ = 10506240.

The previous prime is 55014959. The next prime is 55014961. The reversal of 55014960 is 6941055.

55014960 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 (55014959) and next prime (55014961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (55014961) 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 63 ways as a sum of consecutive naturals, for example, 240126 + ... + 240354.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 2^55014960 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 55014960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114992640).

55014960 is an abundant number, since it is smaller than the sum of its proper divisors (174970320).

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

55014960 is a wasteful number, since it uses less digits than its factorization.

55014960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55014960 is about 7417.2070215142. The cubic root of 55014960 is about 380.3297230527.

The spelling of 55014960 in words is "fifty-five million, fourteen thousand, nine hundred sixty".