54846720000 has 900 divisors, whose sum is σ = 214000822035. Its totient is φ = 13989888000.

The previous prime is 54846719989. The next prime is 54846720011. The reversal of 54846720000 is 2764845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54846720000 is a `hidden beast` number, since 548 + 46 + 72 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54846719989) and next prime (54846720011).

It can be written as a sum of positive squares in 3 ways, for example, as 12680561664 + 42166158336 = 112608^2 + 205344^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=165600.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2384639989 + ... + 2384640011.

Almost surely, 2^54846720000 is an apocalyptic number.

54846720000 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 54846720000

54846720000 is an abundant number, since it is smaller than the sum of its proper divisors (159154102035).

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

54846720000 is an frugal number, since it uses more digits than its factorization.

54846720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 33 counting only the distinct ones).

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

The spelling of 54846720000 in words is "fifty-four billion, eight hundred forty-six million, seven hundred twenty thousand".