216738201960 has 384 divisors, whose sum is σ = 813260448000. Its totient is φ = 49035829248.

The previous prime is 216738201859. The next prime is 216738201997. The reversal of 216738201960 is 69102837612.

216738201960 is a `hidden beast` number, since 21 + 67 + 382 + 0 + 196 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 151670526 + ... + 151671954.

It is an arithmetic number, because the mean of its divisors is an integer number (2117865750).

Almost surely, 2^216738201960 is an apocalyptic number.

216738201960 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 216738201960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406630224000).

216738201960 is an abundant number, since it is smaller than the sum of its proper divisors (596522246040).

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

216738201960 is a wasteful number, since it uses less digits than its factorization.

216738201960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2018 counting only the distinct ones).

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

The spelling of 216738201960 in words is "two hundred sixteen billion, seven hundred thirty-eight million, two hundred one thousand, nine hundred sixty".