55257216 has 128 divisors (see below), whose sum is σ = 171000960. Its totient is φ = 15482880.

The previous prime is 55257179. The next prime is 55257227. The reversal of 55257216 is 61275255.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163800 + ... + 164136.

It is an arithmetic number, because the mean of its divisors is an integer number (1335945).

Almost surely, 2^55257216 is an apocalyptic number.

55257216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85500480).

55257216 is an abundant number, since it is smaller than the sum of its proper divisors (115743744).

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

55257216 is a wasteful number, since it uses less digits than its factorization.

55257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 55257216 is about 7433.5197584993. The cubic root of 55257216 is about 380.8871608030.

The spelling of 55257216 in words is "fifty-five million, two hundred fifty-seven thousand, two hundred sixteen".