2160215785728 has 1728 divisors, whose sum is σ = 8777626970112. Its totient is φ = 511678218240.

The previous prime is 2160215785709. The next prime is 2160215785769. The reversal of 2160215785728 is 8275875120612.

It is a happy number.

2160215785728 is a `hidden beast` number, since 2 + 1 + 60 + 2 + 1 + 5 + 7 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7036533351 + ... + 7036533657.

Almost surely, 2^{2160215785728} is an apocalyptic number.

2160215785728 is a gapful number since it is divisible by the number (28) 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 2160215785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388813485056).

2160215785728 is an abundant number, since it is smaller than the sum of its proper divisors (6617411184384).

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

2160215785728 is a wasteful number, since it uses less digits than its factorization.

2160215785728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 2160215785728 in words is "two trillion, one hundred sixty billion, two hundred fifteen million, seven hundred eighty-five thousand, seven hundred twenty-eight".