215139721104 has 1440 divisors, whose sum is σ = 869384355840. Its totient is φ = 48283361280.

The previous prime is 215139721021. The next prime is 215139721141. The reversal of 215139721104 is 401127931512.

It is a happy number.

215139721104 is a `hidden beast` number, since 2 + 1 + 51 + 397 + 211 + 0 + 4 = 666.

215139721104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 1694013489 + ... + 1694013615.

It is an arithmetic number, because the mean of its divisors is an integer number (603739136).

Almost surely, 2^215139721104 is an apocalyptic number.

215139721104 is a gapful number since it is divisible by the number (24) 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 215139721104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434692177920).

215139721104 is an abundant number, since it is smaller than the sum of its proper divisors (654244634736).

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

215139721104 is a wasteful number, since it uses less digits than its factorization.

215139721104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 215139721104 in words is "two hundred fifteen billion, one hundred thirty-nine million, seven hundred twenty-one thousand, one hundred four".