11309909270688 has 480 divisors, whose sum is σ = 38649632112000. Its totient is φ = 3217396460544.

The previous prime is 11309909270563. The next prime is 11309909270701. The reversal of 11309909270688 is 88607290990311.

11309909270688 is a `hidden beast` number, since 11 + 309 + 90 + 92 + 70 + 6 + 88 = 666.

It is a super-2 number, since 2×11309909270688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 483338413 + ... + 483361811.

It is an arithmetic number, because the mean of its divisors is an integer number (80520066900).

Almost surely, 2^{11309909270688} is an apocalyptic number.

11309909270688 is a gapful number since it is divisible by the number (18) 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 11309909270688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19324816056000).

11309909270688 is an abundant number, since it is smaller than the sum of its proper divisors (27339722841312).

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

11309909270688 is an equidigital number, since it uses as much as digits as its factorization.

11309909270688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23644 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 11309909270688 in words is "eleven trillion, three hundred nine billion, nine hundred nine million, two hundred seventy thousand, six hundred eighty-eight".