11071678752 has 192 divisors, whose sum is σ = 32865678720. Its totient is φ = 3670894080.

The previous prime is 11071678741. The next prime is 11071678759. The reversal of 11071678752 is 25787617011.

It is a junction number, because it is equal to n+sod(n) for n = 11071678698 and 11071678707.

It is not an unprimeable number, because it can be changed into a prime (11071678759) 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, 19665223 + ... + 19665785.

It is an arithmetic number, because the mean of its divisors is an integer number (171175410).

Almost surely, 2^11071678752 is an apocalyptic number.

11071678752 is a gapful number since it is divisible by the number (12) 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 11071678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432839360).

11071678752 is an abundant number, since it is smaller than the sum of its proper divisors (21793999968).

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

11071678752 is an frugal number, since it uses more digits than its factorization.

11071678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 11071678752 in words is "eleven billion, seventy-one million, six hundred seventy-eight thousand, seven hundred fifty-two".