215439912000 has 1568 divisors, whose sum is σ = 884023961184. Its totient is φ = 51757056000.

The previous prime is 215439911989. The next prime is 215439912001. The reversal of 215439912000 is 219934512.

215439912000 is a `hidden beast` number, since 2 + 1 + 543 + 9 + 91 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 156075564096 + 59364347904 = 395064^2 + 243648^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215439912001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4064903974 + ... + 4064904026.

Almost surely, 2^215439912000 is an apocalyptic number.

215439912000 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 215439912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442011980592).

215439912000 is an abundant number, since it is smaller than the sum of its proper divisors (668584049184).

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

215439912000 is an equidigital number, since it uses as much as digits as its factorization.

215439912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 215439912000 in words is "two hundred fifteen billion, four hundred thirty-nine million, nine hundred twelve thousand".