215873242099200 has 1440 divisors, whose sum is σ = 899619770649600. Its totient is φ = 48416655605760.

The previous prime is 215873242099189. The next prime is 215873242099201. The reversal of 215873242099200 is 2990242378512.

215873242099200 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 7 + 3 + 2 + 420 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215873242099201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10384002406 + ... + 10384023194.

It is an arithmetic number, because the mean of its divisors is an integer number (624735951840).

Almost surely, 2^{215873242099200} is an apocalyptic number.

215873242099200 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 215873242099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449809885324800).

215873242099200 is an abundant number, since it is smaller than the sum of its proper divisors (683746528550400).

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

215873242099200 is a wasteful number, since it uses less digits than its factorization.

215873242099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21072 (or 21048 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 215873242099200 in words is "two hundred fifteen trillion, eight hundred seventy-three billion, two hundred forty-two million, ninety-nine thousand, two hundred".