820216690272 has 1536 divisors, whose sum is σ = 3137863680000. Its totient is φ = 207398983680.

The previous prime is 820216690247. The next prime is 820216690297. The reversal of 820216690272 is 272096612028.

820216690272 is a `hidden beast` number, since 82 + 0 + 216 + 6 + 90 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (820216690247) and next prime (820216690297).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6458399073 + ... + 6458399199.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880000).

Almost surely, 2^820216690272 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 820216690272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568931840000).

820216690272 is an abundant number, since it is smaller than the sum of its proper divisors (2317646989728).

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

820216690272 is a wasteful number, since it uses less digits than its factorization.

820216690272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 820216690272 in words is "eight hundred twenty billion, two hundred sixteen million, six hundred ninety thousand, two hundred seventy-two".