10820194316712 has 256 divisors, whose sum is σ = 33114334176000. Its totient is φ = 3246305817600.

The previous prime is 10820194316689. The next prime is 10820194316773. The reversal of 10820194316712 is 21761349102801.

10820194316712 is a `hidden beast` number, since 1 + 0 + 8 + 201 + 9 + 431 + 6 + 7 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 357641778 + ... + 357672030.

It is an arithmetic number, because the mean of its divisors is an integer number (129352867875).

Almost surely, 2^{10820194316712} is an apocalyptic number.

10820194316712 is a gapful number since it is divisible by the number (12) 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 10820194316712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557167088000).

10820194316712 is an abundant number, since it is smaller than the sum of its proper divisors (22294139859288).

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

10820194316712 is a wasteful number, since it uses less digits than its factorization.

10820194316712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31769 (or 31759 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10820194316712 in words is "ten trillion, eight hundred twenty billion, one hundred ninety-four million, three hundred sixteen thousand, seven hundred twelve".