216627026253120 has 2688 divisors, whose sum is σ = 928583969144832. Its totient is φ = 47040744038400.

The previous prime is 216627026252947. The next prime is 216627026253217. The reversal of 216627026253120 is 21352620726612.

216627026253120 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 2 + 7 + 0 + 2 + 625 + 3 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 210113507005 + ... + 210113508035.

It is an arithmetic number, because the mean of its divisors is an integer number (345455345664).

Almost surely, 2^{216627026253120} is an apocalyptic number.

216627026253120 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 216627026253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464291984572416).

216627026253120 is an abundant number, since it is smaller than the sum of its proper divisors (711956942891712).

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

216627026253120 is a wasteful number, since it uses less digits than its factorization.

216627026253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 216627026253120 its reverse (21352620726612), we get a palindrome (237979646979732).

The spelling of 216627026253120 in words is "two hundred sixteen trillion, six hundred twenty-seven billion, twenty-six million, two hundred fifty-three thousand, one hundred twenty".