216215213760 has 1344 divisors, whose sum is σ = 967049932800. Its totient is φ = 44278161408.

The previous prime is 216215213699. The next prime is 216215213789. The reversal of 216215213760 is 67312512612.

216215213760 is a `hidden beast` number, since 2 + 1 + 62 + 1 + 521 + 3 + 76 + 0 = 666.

216215213760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×216215213760² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2736901401 + ... + 2736901479.

It is an arithmetic number, because the mean of its divisors is an integer number (719531200).

Almost surely, 2^216215213760 is an apocalyptic number.

216215213760 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 216215213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483524966400).

216215213760 is an abundant number, since it is smaller than the sum of its proper divisors (750834719040).

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

216215213760 is a wasteful number, since it uses less digits than its factorization.

216215213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 168 counting only the distinct ones).

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

The spelling of 216215213760 in words is "two hundred sixteen billion, two hundred fifteen million, two hundred thirteen thousand, seven hundred sixty".