53459787024400 has 135 divisors (see below), whose sum is σ = 128994987167269. Its totient is φ = 21291437440000.

The previous prime is 53459787024373. The next prime is 53459787024431. The reversal of 53459787024400 is 442078795435.

The square root of 53459787024400 is 7311620.

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 53143925040144 + 315861984256 = 7289988^2 + 562016^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 41091303750 + ... + 41091305050.

Almost surely, 2^{53459787024400} is an apocalyptic number.

53459787024400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53459787024400 is the 7311620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53459787024400

53459787024400 is an abundant number, since it is smaller than the sum of its proper divisors (75535200142869).

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

53459787024400 is an frugal number, since it uses more digits than its factorization.

53459787024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 58.

The spelling of 53459787024400 in words is "fifty-three trillion, four hundred fifty-nine billion, seven hundred eighty-seven million, twenty-four thousand, four hundred".