215906361676272 has 320 divisors, whose sum is σ = 623503531791360. Its totient is φ = 71532472467456.

The previous prime is 215906361676241. The next prime is 215906361676273. The reversal of 215906361676272 is 272676163609512.

215906361676272 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 0 + 6 + 3 + 616 + 7 + 6 + 2 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215906361676273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74785714413 + ... + 74785717299.

It is an arithmetic number, because the mean of its divisors is an integer number (1948448536848).

Almost surely, 2^{215906361676272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215906361676272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311751765895680).

215906361676272 is an abundant number, since it is smaller than the sum of its proper divisors (407597170115088).

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

215906361676272 is a wasteful number, since it uses less digits than its factorization.

215906361676272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 215906361676272 in words is "two hundred fifteen trillion, nine hundred six billion, three hundred sixty-one million, six hundred seventy-six thousand, two hundred seventy-two".