11071458840 has 256 divisors, whose sum is σ = 38189491200. Its totient is φ = 2544998400.

The previous prime is 11071458833. The next prime is 11071458851. The reversal of 11071458840 is 4885417011.

It is a Cunningham number, because it is equal to 105221²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2101810 + ... + 2107070.

It is an arithmetic number, because the mean of its divisors is an integer number (149177700).

Almost surely, 2^11071458840 is an apocalyptic number.

11071458840 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 11071458840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094745600).

11071458840 is an abundant number, since it is smaller than the sum of its proper divisors (27118032360).

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

11071458840 is a wasteful number, since it uses less digits than its factorization.

11071458840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The spelling of 11071458840 in words is "eleven billion, seventy-one million, four hundred fifty-eight thousand, eight hundred forty".