11271030791328 has 960 divisors, whose sum is σ = 44240428108800. Its totient is φ = 2726397480960.

The previous prime is 11271030791231. The next prime is 11271030791389. The reversal of 11271030791328 is 82319703017211.

11271030791328 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 10 + 307 + 9 + 1 + 328 = 666.

It is a super-2 number, since 2×11271030791328² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 223708476 + ... + 223758852.

It is an arithmetic number, because the mean of its divisors is an integer number (46083779280).

Almost surely, 2^{11271030791328} is an apocalyptic number.

11271030791328 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 11271030791328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120214054400).

11271030791328 is an abundant number, since it is smaller than the sum of its proper divisors (32969397317472).

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

11271030791328 is a wasteful number, since it uses less digits than its factorization.

11271030791328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50495 (or 50478 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11271030791328 in words is "eleven trillion, two hundred seventy-one billion, thirty million, seven hundred ninety-one thousand, three hundred twenty-eight".