10822751953920 has 352 divisors, whose sum is σ = 38512500364800. Its totient is φ = 2882285862912.

The previous prime is 10822751953907. The next prime is 10822751953933. The reversal of 10822751953920 is 2935915722801.

10822751953920 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 2 + 75 + 19 + 539 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10822751953907) and next prime (10822751953933).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 106255657 + ... + 106357463.

It is an arithmetic number, because the mean of its divisors is an integer number (109410512400).

Almost surely, 2^{10822751953920} is an apocalyptic number.

10822751953920 is a gapful number since it is divisible by the number (10) 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 10822751953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19256250182400).

10822751953920 is an abundant number, since it is smaller than the sum of its proper divisors (27689748410880).

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

10822751953920 is a wasteful number, since it uses less digits than its factorization.

10822751953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102610 (or 102586 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10822751953920 in words is "ten trillion, eight hundred twenty-two billion, seven hundred fifty-one million, nine hundred fifty-three thousand, nine hundred twenty".