54285017600 has 240 divisors, whose sum is σ = 151467376896. Its totient is φ = 19101696000.

The previous prime is 54285017597. The next prime is 54285017639. The reversal of 54285017600 is 671058245.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4358582 + ... + 4371018.

Almost surely, 2^54285017600 is an apocalyptic number.

54285017600 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 54285017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75733688448).

54285017600 is an abundant number, since it is smaller than the sum of its proper divisors (97182359296).

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

54285017600 is a wasteful number, since it uses less digits than its factorization.

54285017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 54285017600 in words is "fifty-four billion, two hundred eighty-five million, seventeen thousand, six hundred".