215800468785440 has 3072 divisors, whose sum is σ = 731221198848000. Its totient is φ = 58675779993600.

The previous prime is 215800468785431. The next prime is 215800468785523. The reversal of 215800468785440 is 44587864008512.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2956170805244 + ... + 2956170805316.

It is an arithmetic number, because the mean of its divisors is an integer number (238027734000).

Almost surely, 2^{215800468785440} is an apocalyptic number.

215800468785440 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 215800468785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365610599424000).

215800468785440 is an abundant number, since it is smaller than the sum of its proper divisors (515420730062560).

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

215800468785440 is a wasteful number, since it uses less digits than its factorization.

215800468785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 62.

The spelling of 215800468785440 in words is "two hundred fifteen trillion, eight hundred billion, four hundred sixty-eight million, seven hundred eighty-five thousand, four hundred forty".