11071278720 has 256 divisors, whose sum is σ = 41275728000. Its totient is φ = 2796871680.

The previous prime is 11071278719. The next prime is 11071278727. The reversal of 11071278720 is 2787217011.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11071278727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311460 + ... + 345180.

Almost surely, 2^11071278720 is an apocalyptic number.

11071278720 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 11071278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637864000).

11071278720 is an abundant number, since it is smaller than the sum of its proper divisors (30204449280).

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

11071278720 is a wasteful number, since it uses less digits than its factorization.

11071278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33768 (or 33750 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 11071278720 in words is "eleven billion, seventy-one million, two hundred seventy-eight thousand, seven hundred twenty".