216101774160 has 240 divisors, whose sum is σ = 736829982720. Its totient is φ = 56748625920.

The previous prime is 216101774123. The next prime is 216101774209. The reversal of 216101774160 is 61477101612.

216101774160 is a `hidden beast` number, since 21 + 610 + 1 + 7 + 7 + 4 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55565496 + ... + 55569384.

It is an arithmetic number, because the mean of its divisors is an integer number (3070124928).

Almost surely, 2^216101774160 is an apocalyptic number.

216101774160 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 216101774160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368414991360).

216101774160 is an abundant number, since it is smaller than the sum of its proper divisors (520728208560).

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

216101774160 is a wasteful number, since it uses less digits than its factorization.

216101774160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 216101774160 its reverse (61477101612), we get a palindrome (277578875772).

The spelling of 216101774160 in words is "two hundred sixteen billion, one hundred one million, seven hundred seventy-four thousand, one hundred sixty".