11093958720 has 448 divisors, whose sum is σ = 43146512640. Its totient is φ = 2666151936.

The previous prime is 11093958679. The next prime is 11093958727. The reversal of 11093958720 is 2785939011.

11093958720 is a `hidden beast` number, since 1 + 10 + 9 + 39 + 587 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11093958727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4828612 + ... + 4830908.

It is an arithmetic number, because the mean of its divisors is an integer number (96309180).

Almost surely, 2^11093958720 is an apocalyptic number.

11093958720 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 11093958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21573256320).

11093958720 is an abundant number, since it is smaller than the sum of its proper divisors (32052553920).

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

11093958720 is a wasteful number, since it uses less digits than its factorization.

11093958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11093958720 in words is "eleven billion, ninety-three million, nine hundred fifty-eight thousand, seven hundred twenty".