54251726400 has 315 divisors, whose sum is σ = 199724391889. Its totient is φ = 14444766720.

The previous prime is 54251726381. The next prime is 54251726401. The reversal of 54251726400 is 462715245.

It is a happy number.

The square root of 54251726400 is 232920.

It is a perfect power (a square), and thus also a powerful number.

54251726400 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 7 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19530621504 + 34721104896 = 139752^2 + 186336^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54251726401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83850877 + ... + 83851523.

Almost surely, 2^54251726400 is an apocalyptic number.

54251726400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54251726400 is the 232920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54251726400

54251726400 is an abundant number, since it is smaller than the sum of its proper divisors (145472665489).

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

54251726400 is an frugal number, since it uses more digits than its factorization.

54251726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 54251726400 by its sum of digits (36), we get a square (1953062150400 = 1397520²).

54251726400 divided by its sum of digits (36) gives a square (1506992400 = 38820²).

The spelling of 54251726400 in words is "fifty-four billion, two hundred fifty-one million, seven hundred twenty-six thousand, four hundred".