54305777296 has 135 divisors (see below), whose sum is σ = 117631100251. Its totient is φ = 24280486912.

The previous prime is 54305777291. The next prime is 54305777299. The reversal of 54305777296 is 69277750345.

The square root of 54305777296 is 233036.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1066675600 + 53239101696 = 32660^2 + 230736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54305777291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364468230 + ... + 364468378.

Almost surely, 2^54305777296 is an apocalyptic number.

54305777296 is the 233036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54305777296

54305777296 is an abundant number, since it is smaller than the sum of its proper divisors (63325322955).

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

54305777296 is a wasteful number, since it uses less digits than its factorization.

54305777296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 54305777296 in words is "fifty-four billion, three hundred five million, seven hundred seventy-seven thousand, two hundred ninety-six".