54723028204800 has 540 divisors, whose sum is σ = 212985268730080. Its totient is φ = 13824762531840.

The previous prime is 54723028204787. The next prime is 54723028204813. The reversal of 54723028204800 is 840282032745.

54723028204800 is a `hidden beast` number, since 54 + 72 + 30 + 2 + 8 + 20 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54723028204787) and next prime (54723028204813).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7071669 + ... + 12627531.

Almost surely, 2^{54723028204800} is an apocalyptic number.

54723028204800 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 54723028204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106492634365040).

54723028204800 is an abundant number, since it is smaller than the sum of its proper divisors (158262240525280).

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

54723028204800 is a wasteful number, since it uses less digits than its factorization.

54723028204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555920 (or 5555892 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 54723028204800 in words is "fifty-four trillion, seven hundred twenty-three billion, twenty-eight million, two hundred four thousand, eight hundred".