215115989760 has 1440 divisors, whose sum is σ = 940226918400. Its totient is φ = 46852743168.

The previous prime is 215115989741. The next prime is 215115989761. The reversal of 215115989760 is 67989511512.

It is a happy number.

215115989760 is a `hidden beast` number, since 2 + 1 + 511 + 59 + 8 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 215115989697 and 215115989706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215115989761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 817931389 + ... + 817931651.

It is an arithmetic number, because the mean of its divisors is an integer number (652935360).

Almost surely, 2^215115989760 is an apocalyptic number.

215115989760 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 215115989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470113459200).

215115989760 is an abundant number, since it is smaller than the sum of its proper divisors (725110928640).

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

215115989760 is an equidigital number, since it uses as much as digits as its factorization.

215115989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 215115989760 in words is "two hundred fifteen billion, one hundred fifteen million, nine hundred eighty-nine thousand, seven hundred sixty".