215850096000 has 2304 divisors, whose sum is σ = 1030043589120. Its totient is φ = 44416512000.

The previous prime is 215850095999. The next prime is 215850096037. The reversal of 215850096000 is 690058512.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 2095631949 + ... + 2095632051.

It is an arithmetic number, because the mean of its divisors is an integer number (447067530).

Almost surely, 2^215850096000 is an apocalyptic number.

215850096000 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 215850096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515021794560).

215850096000 is an abundant number, since it is smaller than the sum of its proper divisors (814193493120).

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

215850096000 is a wasteful number, since it uses less digits than its factorization.

215850096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 215850096000 in words is "two hundred fifteen billion, eight hundred fifty million, ninety-six thousand".