820695722112 has 1080 divisors, whose sum is σ = 3009088302165. Its totient is φ = 221385830400.

The previous prime is 820695722111. The next prime is 820695722149. The reversal of 820695722112 is 211227596028.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

820695722112 is a `hidden beast` number, since 8 + 2 + 0 + 69 + 572 + 2 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 586106611776 + 234589110336 = 765576^2 + 484344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=640584.

It is not an unprimeable number, because it can be changed into a prime (820695722111) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 20016968812 + ... + 20016968852.

Almost surely, 2^820695722112 is an apocalyptic number.

820695722112 is a gapful number since it is divisible by the number (82) 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 820695722112

820695722112 is an abundant number, since it is smaller than the sum of its proper divisors (2188392580053).

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

820695722112 is an equidigital number, since it uses as much as digits as its factorization.

820695722112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 820695722112 in words is "eight hundred twenty billion, six hundred ninety-five million, seven hundred twenty-two thousand, one hundred twelve".