54450864000 has 1536 divisors, whose sum is σ = 234574704000. Its totient is φ = 11973427200.

The previous prime is 54450863969. The next prime is 54450864007. The reversal of 54450864000 is 46805445.

54450864000 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 0 + 8 + 640 + 0 + 0 = 666.

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 (54450864007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 922895971 + ... + 922896029.

Almost surely, 2^54450864000 is an apocalyptic number.

54450864000 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 54450864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117287352000).

54450864000 is an abundant number, since it is smaller than the sum of its proper divisors (180123840000).

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

54450864000 is a wasteful number, since it uses less digits than its factorization.

54450864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54450864000 in words is "fifty-four billion, four hundred fifty million, eight hundred sixty-four thousand".