54875520 has 192 divisors, whose sum is σ = 216721440. Its totient is φ = 12533760.

The previous prime is 54875503. The next prime is 54875521. The reversal of 54875520 is 2557845.

It is a happy number.

54875520 is a `hidden beast` number, since 54 + 87 + 5 + 520 = 666.

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

It is a super-2 number, since 2×54875520² = 6022645390540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54875521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39640 + ... + 41000.

Almost surely, 2^54875520 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 54875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108360720).

54875520 is an abundant number, since it is smaller than the sum of its proper divisors (161845920).

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

54875520 is a wasteful number, since it uses less digits than its factorization.

54875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1378 counting only the distinct ones).

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

The square root of 54875520 is about 7407.8012932313. The cubic root of 54875520 is about 380.0081254034.

The spelling of 54875520 in words is "fifty-four million, eight hundred seventy-five thousand, five hundred twenty".