53637607012900 has 243 divisors, whose sum is σ = 125711505360819. Its totient is φ = 19860658076160.

The previous prime is 53637607012877. The next prime is 53637607012901. The reversal of 53637607012900 is 921070673635.

The square root of 53637607012900 is 7323770.

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 1254637451236 + 52382969561664 = 1120106^2 + 7237608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53637607012901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 83417739979 + ... + 83417740621.

Almost surely, 2^{53637607012900} is an apocalyptic number.

53637607012900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53637607012900 is the 7323770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53637607012900

53637607012900 is an abundant number, since it is smaller than the sum of its proper divisors (72073898347919).

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

53637607012900 is an equidigital number, since it uses as much as digits as its factorization.

53637607012900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

The spelling of 53637607012900 in words is "fifty-three trillion, six hundred thirty-seven billion, six hundred seven million, twelve thousand, nine hundred".