11227662891340 has 192 divisors, whose sum is σ = 28680156610560. Its totient is φ = 3606496669440.

The previous prime is 11227662891329. The next prime is 11227662891373. The reversal of 11227662891340 is 4319826672211.

11227662891340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 105008587 + ... + 105115453.

It is an arithmetic number, because the mean of its divisors is an integer number (149375815680).

Almost surely, 2^{11227662891340} is an apocalyptic number.

11227662891340 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 11227662891340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14340078305280).

11227662891340 is an abundant number, since it is smaller than the sum of its proper divisors (17452493719220).

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

11227662891340 is a wasteful number, since it uses less digits than its factorization.

11227662891340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107340 (or 107338 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 11227662891340 in words is "eleven trillion, two hundred twenty-seven billion, six hundred sixty-two million, eight hundred ninety-one thousand, three hundred forty".