53290584001600 has 567 divisors, whose sum is σ = 147682847558911. Its totient is φ = 18912359628800.

The previous prime is 53290584001483. The next prime is 53290584001621. The reversal of 53290584001600 is 610048509235.

The square root of 53290584001600 is 7300040.

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 2917837916224 + 50372746085376 = 1708168^2 + 7097376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 150964827024 + ... + 150964827376.

Almost surely, 2^{53290584001600} is an apocalyptic number.

53290584001600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53290584001600 is the 7300040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53290584001600

53290584001600 is an abundant number, since it is smaller than the sum of its proper divisors (94392263557311).

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

53290584001600 is an equidigital number, since it uses as much as digits as its factorization.

53290584001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 53290584001600 in words is "fifty-three trillion, two hundred ninety billion, five hundred eighty-four million, one thousand, six hundred".