54345325525200 has 180 divisors, whose sum is σ = 198519342877440. Its totient is φ = 13729345378560.

The previous prime is 54345325525147. The next prime is 54345325525207. The reversal of 54345325525200 is 252552354345.

54345325525200 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 53 + 25 + 52 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54345325525207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397192752 + ... + 397329551.

It is an arithmetic number, because the mean of its divisors is an integer number (1102885238208).

Almost surely, 2^{54345325525200} is an apocalyptic number.

54345325525200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54345325525200 is an abundant number, since it is smaller than the sum of its proper divisors (144174017352240).

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

54345325525200 is a wasteful number, since it uses less digits than its factorization.

54345325525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794522346 (or 794522332 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 45.

Adding to 54345325525200 its reverse (252552354345), we get a palindrome (54597877879545).

The spelling of 54345325525200 in words is "fifty-four trillion, three hundred forty-five billion, three hundred twenty-five million, five hundred twenty-five thousand, two hundred".