54042300900 has 729 divisors, whose sum is σ = 209729295867. Its totient is φ = 12051244800.

The previous prime is 54042300881. The next prime is 54042300919. The reversal of 54042300900 is 900324045.

The square root of 54042300900 is 232470.

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

54042300900 is a `hidden beast` number, since 540 + 4 + 2 + 30 + 0 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54042300881) and next prime (54042300919).

It can be written as a sum of positive squares in 4 ways, for example, as 22747275684 + 31295025216 = 150822^2 + 176904^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-2 number, since 2×54042300900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1318104880 + ... + 1318104920.

Almost surely, 2^54042300900 is an apocalyptic number.

54042300900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54042300900 is the 232470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54042300900

54042300900 is an abundant number, since it is smaller than the sum of its proper divisors (155686994967).

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

54042300900 is an equidigital number, since it uses as much as digits as its factorization.

54042300900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 54042300900 its reverse (900324045), we get a palindrome (54942624945).

The spelling of 54042300900 in words is "fifty-four billion, forty-two million, three hundred thousand, nine hundred".