54452689200 has 720 divisors, whose sum is σ = 233725040640. Its totient is φ = 11432171520.

The previous prime is 54452689157. The next prime is 54452689229. The reversal of 54452689200 is 298625445.

54452689200 is a `hidden beast` number, since 5 + 44 + 526 + 89 + 2 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 233351²-1.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×54452689200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117608169 + ... + 117608631.

It is an arithmetic number, because the mean of its divisors is an integer number (324618112).

Almost surely, 2^54452689200 is an apocalyptic number.

54452689200 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 54452689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116862520320).

54452689200 is an abundant number, since it is smaller than the sum of its proper divisors (179272351440).

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

54452689200 is a wasteful number, since it uses less digits than its factorization.

54452689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 54452689200 in words is "fifty-four billion, four hundred fifty-two million, six hundred eighty-nine thousand, two hundred".