54558720 has 192 divisors, whose sum is σ = 194245740. Its totient is φ = 14155776.

The previous prime is 54558689. The next prime is 54558727. The reversal of 54558720 is 2785545.

It is a happy number.

54558720 is a `hidden beast` number, since 54 + 5 + 587 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 1327104 = 7296^2 + 1152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (54558727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474542 + ... + 1474578.

Almost surely, 2^54558720 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 54558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97122870).

54558720 is an abundant number, since it is smaller than the sum of its proper divisors (139687020).

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

54558720 is an equidigital number, since it uses as much as digits as its factorization.

54558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 54558720 is about 7386.3874796818. The cubic root of 54558720 is about 379.2754429822.

It can be divided in two parts, 54558 and 720, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54558720 in words is "fifty-four million, five hundred fifty-eight thousand, seven hundred twenty".