54225057600 has 1008 divisors, whose sum is σ = 242131169280. Its totient is φ = 11222323200.

The previous prime is 54225057587. The next prime is 54225057611. The reversal of 54225057600 is 675052245.

54225057600 is a `hidden beast` number, since 5 + 42 + 2 + 5 + 0 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 44048985 + ... + 44050215.

Almost surely, 2^54225057600 is an apocalyptic number.

54225057600 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 54225057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121065584640).

54225057600 is an abundant number, since it is smaller than the sum of its proper divisors (187906111680).

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

54225057600 is a wasteful number, since it uses less digits than its factorization.

54225057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 54225057600 in words is "fifty-four billion, two hundred twenty-five million, fifty-seven thousand, six hundred".