54256435200 has 768 divisors, whose sum is σ = 218436019200. Its totient is φ = 13094092800.

The previous prime is 54256435141. The next prime is 54256435213. The reversal of 54256435200 is 253465245.

54256435200 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 643 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×54256435200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243302289 + ... + 243302511.

It is an arithmetic number, because the mean of its divisors is an integer number (284421900).

Almost surely, 2^54256435200 is an apocalyptic number.

54256435200 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 54256435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109218009600).

54256435200 is an abundant number, since it is smaller than the sum of its proper divisors (164179584000).

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

54256435200 is a wasteful number, since it uses less digits than its factorization.

54256435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 54256435200 in words is "fifty-four billion, two hundred fifty-six million, four hundred thirty-five thousand, two hundred".