215043940661760 has 2880 divisors, whose sum is σ = 911376427104000. Its totient is φ = 48638024515584.

The previous prime is 215043940661651. The next prime is 215043940661761. The reversal of 215043940661760 is 67166049340512.

It is a happy number.

215043940661760 is a `hidden beast` number, since 2 + 1 + 50 + 439 + 40 + 6 + 61 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 215043940661697 and 215043940661706.

It is not an unprimeable number, because it can be changed into a prime (215043940661761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 939056509326 + ... + 939056509554.

It is an arithmetic number, because the mean of its divisors is an integer number (316450148300).

Almost surely, 2^{215043940661760} is an apocalyptic number.

215043940661760 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 215043940661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455688213552000).

215043940661760 is an abundant number, since it is smaller than the sum of its proper divisors (696332486442240).

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

215043940661760 is an frugal number, since it uses more digits than its factorization.

215043940661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 215043940661760 in words is "two hundred fifteen trillion, forty-three billion, nine hundred forty million, six hundred sixty-one thousand, seven hundred sixty".