54825600 has 96 divisors (see below), whose sum is σ = 180613440. Its totient is φ = 14617600.

The previous prime is 54825581. The next prime is 54825611. The reversal of 54825600 is 652845.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6745 + ... + 12455.

It is an arithmetic number, because the mean of its divisors is an integer number (1881390).

Almost surely, 2^54825600 is an apocalyptic number.

54825600 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 54825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720).

54825600 is an abundant number, since it is smaller than the sum of its proper divisors (125787840).

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

54825600 is a wasteful number, since it uses less digits than its factorization.

54825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 54825600 is about 7404.4311057636. The cubic root of 54825600 is about 379.8928599150.

The spelling of 54825600 in words is "fifty-four million, eight hundred twenty-five thousand, six hundred".