53666355600 has 1215 divisors, whose sum is σ = 230178815139. Its totient is φ = 12009254400.

The previous prime is 53666355511. The next prime is 53666355601. The reversal of 53666355600 is 655366635.

The square root of 53666355600 is 231660.

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

53666355600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13832582544 + 39833773056 = 117612^2 + 199584^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53666355601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4128181194 + ... + 4128181206.

Almost surely, 2^53666355600 is an apocalyptic number.

53666355600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53666355600 is the 231660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53666355600

53666355600 is an abundant number, since it is smaller than the sum of its proper divisors (176512459539).

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

53666355600 is a wasteful number, since it uses less digits than its factorization.

53666355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 53666355600 in words is "fifty-three billion, six hundred sixty-six million, three hundred fifty-five thousand, six hundred".