216522702400 has 63 divisors (see below), whose sum is σ = 532826977651. Its totient is φ = 86601635840.

The previous prime is 216522702323. The next prime is 216522702413. The reversal of 216522702400 is 4207225612.

The square root of 216522702400 is 465320.

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 364657216 + 216158045184 = 19096^2 + 464928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18606984 + ... + 18618616.

Almost surely, 2^216522702400 is an apocalyptic number.

216522702400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

216522702400 is the 465320-th square number.

It is an amenable number.

216522702400 is an abundant number, since it is smaller than the sum of its proper divisors (316304275251).

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

216522702400 is an frugal number, since it uses more digits than its factorization.

216522702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23288 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 216522702400 in words is "two hundred sixteen billion, five hundred twenty-two million, seven hundred two thousand, four hundred".