54872064000 has 720 divisors, whose sum is σ = 213973752720. Its totient is φ = 13447987200.

The previous prime is 54872063971. The next prime is 54872064001. The reversal of 54872064000 is 46027845.

54872064000 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 2 + 0 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14538571776 + 40333492224 = 120576^2 + 200832^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 (54872064001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239615886 + ... + 239616114.

Almost surely, 2^54872064000 is an apocalyptic number.

54872064000 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 54872064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106986876360).

54872064000 is an abundant number, since it is smaller than the sum of its proper divisors (159101688720).

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

54872064000 is a wasteful number, since it uses less digits than its factorization.

54872064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 54872064000 in words is "fifty-four billion, eight hundred seventy-two million, sixty-four thousand".