53000438419600 has 405 divisors, whose sum is σ = 149552001123777. Its totient is φ = 17997903866880.

The previous prime is 53000438419597. The next prime is 53000438419619. The reversal of 53000438419600 is 691483400035.

The square root of 53000438419600 is 7280140.

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 42933473988496 + 10066964431104 = 6552364^2 + 3172848^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 151863720226 + ... + 151863720574.

Almost surely, 2^{53000438419600} is an apocalyptic number.

53000438419600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53000438419600 is the 7280140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53000438419600

53000438419600 is an abundant number, since it is smaller than the sum of its proper divisors (96551562704177).

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

53000438419600 is an equidigital number, since it uses as much as digits as its factorization.

53000438419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 53000438419600 in words is "fifty-three trillion, four hundred thirty-eight million, four hundred nineteen thousand, six hundred".