55249920 has 264 divisors, whose sum is σ = 210759120. Its totient is φ = 13271040.

The previous prime is 55249913. The next prime is 55249927. The reversal of 55249920 is 2994255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55249913) and next prime (55249927).

It is a tau number, because it is divible by the number of its divisors (264).

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 (55249927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506826 + ... + 506934.

It is an arithmetic number, because the mean of its divisors is an integer number (798330).

Almost surely, 2^55249920 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 55249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105379560).

55249920 is an abundant number, since it is smaller than the sum of its proper divisors (155509200).

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

55249920 is a wasteful number, since it uses less digits than its factorization.

55249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55249920 is about 7433.0289922750. The cubic root of 55249920 is about 380.8703963256.

It can be divided in two parts, 55249 and 920, that added together give a square (56169 = 237²).

The spelling of 55249920 in words is "fifty-five million, two hundred forty-nine thousand, nine hundred twenty".