215204203872000 has 2160 divisors, whose sum is σ = 956566943029152. Its totient is φ = 46293501542400.

The previous prime is 215204203871963. The next prime is 215204203872059. The reversal of 215204203872000 is 278302402512.

215204203872000 is a `hidden beast` number, since 2 + 1 + 5 + 20 + 420 + 3 + 8 + 7 + 200 + 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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11755286847 + ... + 11755305153.

Almost surely, 2^{215204203872000} is an apocalyptic number.

215204203872000 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 215204203872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478283471514576).

215204203872000 is an abundant number, since it is smaller than the sum of its proper divisors (741362739157152).

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

215204203872000 is an equidigital number, since it uses as much as digits as its factorization.

215204203872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18389 (or 18341 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 215204203872000 in words is "two hundred fifteen trillion, two hundred four billion, two hundred three million, eight hundred seventy-two thousand".