217137360400 has 135 divisors (see below), whose sum is σ = 545878943239. Its totient is φ = 82996629760.

The previous prime is 217137360389. The next prime is 217137360409. The reversal of 217137360400 is 4063731712.

The square root of 217137360400 is 465980.

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 129597120016 + 87540240384 = 359996^2 + 295872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217137360409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214350294 + ... + 214351306.

Almost surely, 2^217137360400 is an apocalyptic number.

217137360400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

217137360400 is the 465980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217137360400

217137360400 is an abundant number, since it is smaller than the sum of its proper divisors (328741582839).

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

217137360400 is an equidigital number, since it uses as much as digits as its factorization.

217137360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 217137360400 in words is "two hundred seventeen billion, one hundred thirty-seven million, three hundred sixty thousand, four hundred".