216306175140 has 288 divisors, whose sum is σ = 740524848000. Its totient is φ = 52378824960.

The previous prime is 216306175103. The next prime is 216306175171. The reversal of 216306175140 is 41571603612.

216306175140 is a `hidden beast` number, since 2 + 1 + 6 + 30 + 617 + 5 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×216306175140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216306175095 and 216306175104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95329926 + ... + 95332194.

Almost surely, 2^216306175140 is an apocalyptic number.

216306175140 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 216306175140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370262424000).

216306175140 is an abundant number, since it is smaller than the sum of its proper divisors (524218672860).

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

216306175140 is a wasteful number, since it uses less digits than its factorization.

216306175140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 216306175140 its reverse (41571603612), we get a palindrome (257877778752).

The spelling of 216306175140 in words is "two hundred sixteen billion, three hundred six million, one hundred seventy-five thousand, one hundred forty".