53753824890000 has 225 divisors, whose sum is σ = 187992582400623. Its totient is φ = 14333766768000.

The previous prime is 53753824889971. The next prime is 53753824890011. The reversal of 53753824890000 is 9842835735.

The square root of 53753824890000 is 7331700.

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

53753824890000 is a `hidden beast` number, since 5 + 3 + 7 + 538 + 24 + 89 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4214299871376 + 49539525018624 = 2052876^2 + 7038432^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 2199497781 + ... + 2199522219.

Almost surely, 2^{53753824890000} is an apocalyptic number.

53753824890000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53753824890000 is the 7331700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53753824890000

53753824890000 is an abundant number, since it is smaller than the sum of its proper divisors (134238757510623).

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

53753824890000 is an frugal number, since it uses more digits than its factorization.

53753824890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48912 (or 24449 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 53753824890000 in words is "fifty-three trillion, seven hundred fifty-three billion, eight hundred twenty-four million, eight hundred ninety thousand".