216793134810 has 864 divisors, whose sum is σ = 742311984960. Its totient is φ = 43627465728.

The previous prime is 216793134769. The next prime is 216793134869. The reversal of 216793134810 is 18431397612.

216793134810 is a `hidden beast` number, since 2 + 167 + 9 + 3 + 1 + 3 + 481 + 0 = 666.

It is a super-2 number, since 2×216793134810² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2969768934 + ... + 2969769006.

It is an arithmetic number, because the mean of its divisors is an integer number (859157390).

Almost surely, 2^216793134810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216793134810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371155992480).

216793134810 is an abundant number, since it is smaller than the sum of its proper divisors (525518850150).

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

216793134810 is a wasteful number, since it uses less digits than its factorization.

216793134810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 216793134810 in words is "two hundred sixteen billion, seven hundred ninety-three million, one hundred thirty-four thousand, eight hundred ten".