215449416000 has 1792 divisors, whose sum is σ = 991601694720. Its totient is φ = 44590694400.

The previous prime is 215449415989. The next prime is 215449416001. The reversal of 215449416000 is 614944512.

215449416000 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 4 + 9 + 41 + 600 + 0 = 666.

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 (215449416001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1906631944 + ... + 1906632056.

It is an arithmetic number, because the mean of its divisors is an integer number (553349160).

Almost surely, 2^215449416000 is an apocalyptic number.

215449416000 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 215449416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495800847360).

215449416000 is an abundant number, since it is smaller than the sum of its proper divisors (776152278720).

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

215449416000 is a wasteful number, since it uses less digits than its factorization.

215449416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 215449416000 in words is "two hundred fifteen billion, four hundred forty-nine million, four hundred sixteen thousand".