54085287600 has 360 divisors, whose sum is σ = 198800609280. Its totient is φ = 14114684160.

The previous prime is 54085287563. The next prime is 54085287631. The reversal of 54085287600 is 678258045.

54085287600 is a `hidden beast` number, since 54 + 0 + 8 + 528 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4562481 + ... + 4574319.

Almost surely, 2^54085287600 is an apocalyptic number.

54085287600 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 54085287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99400304640).

54085287600 is an abundant number, since it is smaller than the sum of its proper divisors (144715321680).

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

54085287600 is a wasteful number, since it uses less digits than its factorization.

54085287600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11896 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 54085287600 in words is "fifty-four billion, eighty-five million, two hundred eighty-seven thousand, six hundred".