11008812072960 has 900 divisors, whose sum is σ = 42741269688348. Its totient is φ = 2709585395712.

The previous prime is 11008812072899. The next prime is 11008812072961. The reversal of 11008812072960 is 6927021880011.

It can be written as a sum of positive squares in 6 ways, for example, as 130847145984 + 10877964926976 = 361728^2 + 3298176^2 .

It is a super-3 number, since 3×11008812072960³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11008812072961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1121397972 + ... + 1121407788.

Almost surely, 2^{11008812072960} is an apocalyptic number.

11008812072960 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 11008812072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370634844174).

11008812072960 is an abundant number, since it is smaller than the sum of its proper divisors (31732457615388).

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

11008812072960 is an frugal number, since it uses more digits than its factorization.

11008812072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11008812072960 in words is "eleven trillion, eight billion, eight hundred twelve million, seventy-two thousand, nine hundred sixty".