216527637810 has 384 divisors, whose sum is σ = 604038758400. Its totient is φ = 49576665600.

The previous prime is 216527637791. The next prime is 216527637811. The reversal of 216527637810 is 18736725612.

It is a super-2 number, since 2×216527637810² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216527637810.

It is not an unprimeable number, because it can be changed into a prime (216527637811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1557752721 + ... + 1557752859.

It is an arithmetic number, because the mean of its divisors is an integer number (1573017600).

Almost surely, 2^216527637810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216527637810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302019379200).

216527637810 is an abundant number, since it is smaller than the sum of its proper divisors (387511120590).

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

216527637810 is a wasteful number, since it uses less digits than its factorization.

216527637810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 216527637810 in words is "two hundred sixteen billion, five hundred twenty-seven million, six hundred thirty-seven thousand, eight hundred ten".