821109272607 has 32 divisors (see below), whose sum is σ = 1315013145600. Its totient is φ = 503376672096.

The previous prime is 821109272603. The next prime is 821109272651. The reversal of 821109272607 is 706272901128.

It is a happy number.

821109272607 is a `hidden beast` number, since 8 + 2 + 1 + 10 + 9 + 27 + 2 + 607 = 666.

It is not a de Polignac number, because 821109272607 - 2² = 821109272603 is a prime.

It is a super-2 number, since 2×821109272607² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821109272603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4355107 + ... + 4539732.

It is an arithmetic number, because the mean of its divisors is an integer number (41094160800).

Almost surely, 2^821109272607 is an apocalyptic number.

821109272607 is a deficient number, since it is larger than the sum of its proper divisors (493903872993).

821109272607 is a wasteful number, since it uses less digits than its factorization.

821109272607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8895124 (or 8895118 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 821109272607 in words is "eight hundred twenty-one billion, one hundred nine million, two hundred seventy-two thousand, six hundred seven".