54363225600 has 960 divisors, whose sum is σ = 222853593600. Its totient is φ = 12899450880.

The previous prime is 54363225517. The next prime is 54363225607. The reversal of 54363225600 is 652236345.

54363225600 is a `hidden beast` number, since 5 + 43 + 6 + 3 + 2 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (54363225607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111628557 + ... + 111629043.

It is an arithmetic number, because the mean of its divisors is an integer number (232139160).

Almost surely, 2^54363225600 is an apocalyptic number.

54363225600 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 54363225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111426796800).

54363225600 is an abundant number, since it is smaller than the sum of its proper divisors (168490368000).

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

54363225600 is a wasteful number, since it uses less digits than its factorization.

54363225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 54363225600 in words is "fifty-four billion, three hundred sixty-three million, two hundred twenty-five thousand, six hundred".