213797221102080 has 2880 divisors, whose sum is σ = 981774018441216. Its totient is φ = 42467991552000.

The previous prime is 213797221102043. The next prime is 213797221102099. The reversal of 213797221102080 is 80201122797312.

213797221102080 is a `hidden beast` number, since 2 + 1 + 379 + 72 + 2 + 1 + 1 + 0 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31952951535 + ... + 31952958225.

Almost surely, 2^{213797221102080} is an apocalyptic number.

213797221102080 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 213797221102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490887009220608).

213797221102080 is an abundant number, since it is smaller than the sum of its proper divisors (767976797339136).

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

213797221102080 is a wasteful number, since it uses less digits than its factorization.

213797221102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 213797221102080 its reverse (80201122797312), we get a palindrome (293998343899392).

The spelling of 213797221102080 in words is "two hundred thirteen trillion, seven hundred ninety-seven billion, two hundred twenty-one million, one hundred two thousand, eighty".