54558800 has 30 divisors (see below), whose sum is σ = 131078478. Its totient is φ = 21823360.

The previous prime is 54558799. The next prime is 54558809. The reversal of 54558800 is 885545.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 54523456 = 188^2 + 7384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54558809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67799 + ... + 68598.

Almost surely, 2^54558800 is an apocalyptic number.

54558800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54558800 is an abundant number, since it is smaller than the sum of its proper divisors (76519678).

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

54558800 is a wasteful number, since it uses less digits than its factorization.

54558800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136415 (or 136404 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 54558800 is about 7386.3928950469. The cubic root of 54558800 is about 379.2756283606.

The spelling of 54558800 in words is "fifty-four million, five hundred fifty-eight thousand, eight hundred".