11075981280 has 384 divisors, whose sum is σ = 43946800128. Its totient is φ = 2282176512.

The previous prime is 11075981261. The next prime is 11075981291. The reversal of 11075981280 is 8218957011.

It is a super-2 number, since 2×11075981280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1875292 + ... + 1881188.

It is an arithmetic number, because the mean of its divisors is an integer number (114444792).

Almost surely, 2^11075981280 is an apocalyptic number.

11075981280 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 11075981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21973400064).

11075981280 is an abundant number, since it is smaller than the sum of its proper divisors (32870818848).

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

11075981280 is a wasteful number, since it uses less digits than its factorization.

11075981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The spelling of 11075981280 in words is "eleven billion, seventy-five million, nine hundred eighty-one thousand, two hundred eighty".