55401216 has 144 divisors (see below), whose sum is σ = 164828160. Its totient is φ = 16404480.

The previous prime is 55401211. The next prime is 55401217. The reversal of 55401216 is 61210455.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55401211) 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 15 ways as a sum of consecutive naturals, for example, 309415 + ... + 309593.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^55401216 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 55401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82414080).

55401216 is an abundant number, since it is smaller than the sum of its proper divisors (109426944).

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

55401216 is a wasteful number, since it uses less digits than its factorization.

55401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55401216 is about 7443.1993121238. The cubic root of 55401216 is about 381.2177370889.

The spelling of 55401216 in words is "fifty-five million, four hundred one thousand, two hundred sixteen".