54363456000 has 960 divisors, whose sum is σ = 227712925440. Its totient is φ = 12209356800.

The previous prime is 54363455987. The next prime is 54363456011. The reversal of 54363456000 is 65436345.

54363456000 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 3 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 391103931 + ... + 391104069.

It is an arithmetic number, because the mean of its divisors is an integer number (237200964).

Almost surely, 2^54363456000 is an apocalyptic number.

54363456000 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 54363456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113856462720).

54363456000 is an abundant number, since it is smaller than the sum of its proper divisors (173349469440).

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

54363456000 is a wasteful number, since it uses less digits than its factorization.

54363456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 54363456000 its product of nonzero digits (129600), we get a square (54363585600 = 233160²).

The spelling of 54363456000 in words is "fifty-four billion, three hundred sixty-three million, four hundred fifty-six thousand".