54399945600 has 3072 divisors, whose sum is σ = 290681395200. Its totient is φ = 9555148800.

The previous prime is 54399945599. The next prime is 54399945631. The reversal of 54399945600 is 654999345.

54399945600 is a `hidden beast` number, since 543 + 9 + 9 + 94 + 5 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1470268782 + ... + 1470268818.

It is an arithmetic number, because the mean of its divisors is an integer number (94622850).

Almost surely, 2^54399945600 is an apocalyptic number.

54399945600 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 54399945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

54399945600 is an abundant number, since it is smaller than the sum of its proper divisors (236281449600).

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

54399945600 is a wasteful number, since it uses less digits than its factorization.

54399945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

It can be divided in two parts, 54399 and 945600, that added together give a palindrome (999999).

The spelling of 54399945600 in words is "fifty-four billion, three hundred ninety-nine million, nine hundred forty-five thousand, six hundred".