53296339600 has 405 divisors, whose sum is σ = 159874836273. Its totient is φ = 17020846080.

The previous prime is 53296339553. The next prime is 53296339619. The reversal of 53296339600 is 693369235.

53296339600 = 1³ + 2³ + ... + 679³.

The square root of 53296339600 is 230860.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21223827856 + 32072511744 = 145684^2 + 179088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 549446752 + ... + 549446848.

Almost surely, 2^53296339600 is an apocalyptic number.

53296339600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53296339600 is the 230860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53296339600

53296339600 is an abundant number, since it is smaller than the sum of its proper divisors (106578496673).

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

53296339600 is a wasteful number, since it uses less digits than its factorization.

53296339600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 46.

The spelling of 53296339600 in words is "fifty-three billion, two hundred ninety-six million, three hundred thirty-nine thousand, six hundred".