54930225600 has 336 divisors, whose sum is σ = 205131558240. Its totient is φ = 14290329600.

The previous prime is 54930225599. The next prime is 54930225613. The reversal of 54930225600 is 652203945.

54930225600 is a `hidden beast` number, since 5 + 4 + 93 + 0 + 2 + 2 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755694 + ... + 1786706.

It is an arithmetic number, because the mean of its divisors is an integer number (610510590).

Almost surely, 2^54930225600 is an apocalyptic number.

54930225600 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 54930225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102565779120).

54930225600 is an abundant number, since it is smaller than the sum of its proper divisors (150201332640).

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

54930225600 is a wasteful number, since it uses less digits than its factorization.

54930225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31085 (or 31064 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 54930225600 in words is "fifty-four billion, nine hundred thirty million, two hundred twenty-five thousand, six hundred".