10821220152318 has 48 divisors (see below), whose sum is σ = 23641051633056. Its totient is φ = 3577142476800.

The previous prime is 10821220152251. The next prime is 10821220152331. The reversal of 10821220152318 is 81325102212801.

10821220152318 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 122 + 0 + 1 + 523 + 1 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1745155 + ... + 4968702.

It is an arithmetic number, because the mean of its divisors is an integer number (492521909022).

Almost surely, 2^{10821220152318} is an apocalyptic number.

10821220152318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10821220152318 is an abundant number, since it is smaller than the sum of its proper divisors (12819831480738).

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

10821220152318 is a wasteful number, since it uses less digits than its factorization.

10821220152318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714609 (or 6714606 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 10821220152318 in words is "ten trillion, eight hundred twenty-one billion, two hundred twenty million, one hundred fifty-two thousand, three hundred eighteen".