54727201584000 has 2560 divisors, whose sum is σ = 236005489399680. Its totient is φ = 12421693440000.

The previous prime is 54727201583969. The next prime is 54727201584007. The reversal of 54727201584000 is 48510272745.

54727201584000 is a `hidden beast` number, since 5 + 4 + 72 + 7 + 20 + 158 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54727201584007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 58406831532 + ... + 58406832468.

Almost surely, 2^{54727201584000} is an apocalyptic number.

54727201584000 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 54727201584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118002744699840).

54727201584000 is an abundant number, since it is smaller than the sum of its proper divisors (181278287815680).

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

54727201584000 is a wasteful number, since it uses less digits than its factorization.

54727201584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 54727201584000 in words is "fifty-four trillion, seven hundred twenty-seven billion, two hundred one million, five hundred eighty-four thousand".