54254631600 has 240 divisors, whose sum is σ = 207961168800. Its totient is φ = 13354951680.

The previous prime is 54254631569. The next prime is 54254631601. The reversal of 54254631600 is 613645245.

54254631600 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 46 + 3 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (54254631601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52815 + ... + 333614.

It is an arithmetic number, because the mean of its divisors is an integer number (866504870).

Almost surely, 2^54254631600 is an apocalyptic number.

54254631600 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 54254631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980584400).

54254631600 is an abundant number, since it is smaller than the sum of its proper divisors (153706537200).

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

54254631600 is a wasteful number, since it uses less digits than its factorization.

54254631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386469 (or 386452 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54254631600 in words is "fifty-four billion, two hundred fifty-four million, six hundred thirty-one thousand, six hundred".