55268000 has 96 divisors (see below), whose sum is σ = 139518288. Its totient is φ = 21504000.

The previous prime is 55267991. The next prime is 55268023. The reversal of 55268000 is 86255.

It can be written as a sum of positive squares in 8 ways, for example, as 2676496 + 52591504 = 1636^2 + 7252^2 .

It is an unprimeable number.

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, 163832 + ... + 164168.

Almost surely, 2^55268000 is an apocalyptic number.

55268000 is a gapful number since it is divisible by the number (50) 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 55268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69759144).

55268000 is an abundant number, since it is smaller than the sum of its proper divisors (84250288).

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

55268000 is a wasteful number, since it uses less digits than its factorization.

55268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 55268000 is about 7434.2450860864. The cubic root of 55268000 is about 380.9119371747.

The spelling of 55268000 in words is "fifty-five million, two hundred sixty-eight thousand".