215047768320 has 2016 divisors, whose sum is σ = 999872342784. Its totient is φ = 42998169600.

The previous prime is 215047768307. The next prime is 215047768321. The reversal of 215047768320 is 23867740512.

215047768320 is a `hidden beast` number, since 2 + 150 + 477 + 6 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215047768321) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2945859804 + ... + 2945859876.

It is an arithmetic number, because the mean of its divisors is an integer number (495968424).

Almost surely, 2^215047768320 is an apocalyptic number.

215047768320 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 215047768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499936171392).

215047768320 is an abundant number, since it is smaller than the sum of its proper divisors (784824574464).

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

215047768320 is an equidigital number, since it uses as much as digits as its factorization.

215047768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 215047768320 in words is "two hundred fifteen billion, forty-seven million, seven hundred sixty-eight thousand, three hundred twenty".