820411291797 has 16 divisors (see below), whose sum is σ = 1095940696320. Its totient is φ = 545911616000.

The previous prime is 820411291771. The next prime is 820411291829. The reversal of 820411291797 is 797192114028.

It is a cyclic number.

It is not a de Polignac number, because 820411291797 - 2¹¹ = 820411289749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820411291397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16278397 + ... + 16328717.

It is an arithmetic number, because the mean of its divisors is an integer number (68496293520).

Almost surely, 2^820411291797 is an apocalyptic number.

It is an amenable number.

820411291797 is a deficient number, since it is larger than the sum of its proper divisors (275529404523).

820411291797 is a wasteful number, since it uses less digits than its factorization.

820411291797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60444.

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 820411291797 in words is "eight hundred twenty billion, four hundred eleven million, two hundred ninety-one thousand, seven hundred ninety-seven".