215126016000 has 1024 divisors, whose sum is σ = 851900474880. Its totient is φ = 47185920000.

The previous prime is 215126015981. The next prime is 215126016023. The reversal of 215126016000 is 610621512.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3526655970 + ... + 3526656030.

Almost surely, 2^215126016000 is an apocalyptic number.

215126016000 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 215126016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425950237440).

215126016000 is an abundant number, since it is smaller than the sum of its proper divisors (636774458880).

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

215126016000 is an frugal number, since it uses more digits than its factorization.

215126016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 215126016000 its reverse (610621512), we get a palindrome (215736637512).

The spelling of 215126016000 in words is "two hundred fifteen billion, one hundred twenty-six million, sixteen thousand".