215105440000 has 180 divisors, whose sum is σ = 585322824240. Its totient is φ = 78219520000.

The previous prime is 215105439961. The next prime is 215105440003. The reversal of 215105440000 is 44501512.

It is a super-3 number, since 3×215105440000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (215105440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1698891 + ... + 1821109.

It is an arithmetic number, because the mean of its divisors is an integer number (3251793468).

Almost surely, 2^215105440000 is an apocalyptic number.

215105440000 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 215105440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292661412120).

215105440000 is an abundant number, since it is smaller than the sum of its proper divisors (370217384240).

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

215105440000 is an equidigital number, since it uses as much as digits as its factorization.

215105440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122266 (or 122237 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 215105440000 its reverse (44501512), we get a palindrome (215149941512).

The spelling of 215105440000 in words is "two hundred fifteen billion, one hundred five million, four hundred forty thousand".