216075822648000 has 896 divisors, whose sum is σ = 835870017116160. Its totient is φ = 48164629708800.

The previous prime is 216075822647987. The next prime is 216075822648011. The reversal of 216075822648000 is 846228570612.

It is a super-2 number, since 2×216075822648000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1091397019 + ... + 1091594981.

Almost surely, 2^{216075822648000} is an apocalyptic number.

216075822648000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216075822648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417935008558080).

216075822648000 is an abundant number, since it is smaller than the sum of its proper divisors (619794194468160).

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

216075822648000 is a wasteful number, since it uses less digits than its factorization.

216075822648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198162 (or 198142 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 216075822648000 in words is "two hundred sixteen trillion, seventy-five billion, eight hundred twenty-two million, six hundred forty-eight thousand".