11282072008896 has 672 divisors, whose sum is σ = 38985603471360. Its totient is φ = 3205938548736.

The previous prime is 11282072008891. The next prime is 11282072008901. The reversal of 11282072008896 is 69880027028211.

It is an interprime number because it is at equal distance from previous prime (11282072008891) and next prime (11282072008901).

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

It is not an unprimeable number, because it can be changed into a prime (11282072008891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134809561 + ... + 134893223.

It is an arithmetic number, because the mean of its divisors is an integer number (58014290880).

Almost surely, 2^{11282072008896} is an apocalyptic number.

11282072008896 is a gapful number since it is divisible by the number (16) 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 11282072008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492801735680).

11282072008896 is an abundant number, since it is smaller than the sum of its proper divisors (27703531462464).

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

11282072008896 is a wasteful number, since it uses less digits than its factorization.

11282072008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83755 (or 83733 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11282072008896 in words is "eleven trillion, two hundred eighty-two billion, seventy-two million, eight thousand, eight hundred ninety-six".