11050864110720 has 4096 divisors, whose sum is σ = 52030771200000. Its totient is φ = 2185166979072.

The previous prime is 11050864110661. The next prime is 11050864110757. The reversal of 11050864110720 is 2701146805011.

11050864110720 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 0 + 8 + 641 + 1 + 0 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 124167012436 + ... + 124167012524.

It is an arithmetic number, because the mean of its divisors is an integer number (12702825000).

Almost surely, 2^{11050864110720} is an apocalyptic number.

11050864110720 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 11050864110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26015385600000).

11050864110720 is an abundant number, since it is smaller than the sum of its proper divisors (40979907089280).

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

11050864110720 is an equidigital number, since it uses as much as digits as its factorization.

11050864110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11050864110720 in words is "eleven trillion, fifty billion, eight hundred sixty-four million, one hundred ten thousand, seven hundred twenty".