53717332900 has 405 divisors, whose sum is σ = 153029478273. Its totient is φ = 16353691200.

The previous prime is 53717332897. The next prime is 53717332901. The reversal of 53717332900 is 923371735.

It is a happy number.

The square root of 53717332900 is 231770.

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

It can be written as a sum of positive squares in only one way, i.e., 19338239844 + 34379093056 = 139062^2 + 185416^2 .

It is not an unprimeable number, because it can be changed into a prime (53717332901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1249240279 + ... + 1249240321.

Almost surely, 2^53717332900 is an apocalyptic number.

53717332900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53717332900 is the 231770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53717332900

53717332900 is an abundant number, since it is smaller than the sum of its proper divisors (99312145373).

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

53717332900 is a wasteful number, since it uses less digits than its factorization.

53717332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 40.

The spelling of 53717332900 in words is "fifty-three billion, seven hundred seventeen million, three hundred thirty-two thousand, nine hundred".