820882148995 has 16 divisors (see below), whose sum is σ = 1052750906208. Its totient is φ = 612299553280.

The previous prime is 820882148953. The next prime is 820882149011. The reversal of 820882148995 is 599841288028.

It is not a de Polignac number, because 820882148995 - 2¹⁹ = 820881624707 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 45119116 + ... + 45137305.

It is an arithmetic number, because the mean of its divisors is an integer number (65796931638).

Almost surely, 2^820882148995 is an apocalyptic number.

820882148995 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

820882148995 is a deficient number, since it is larger than the sum of its proper divisors (231868757213).

820882148995 is a wasteful number, since it uses less digits than its factorization.

820882148995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90256550.

The product of its (nonzero) digits is 26542080, while the sum is 64.

The spelling of 820882148995 in words is "eight hundred twenty billion, eight hundred eighty-two million, one hundred forty-eight thousand, nine hundred ninety-five".