11271395225376 has 432 divisors, whose sum is σ = 38166752889720. Its totient is φ = 3152816409600.

The previous prime is 11271395225359. The next prime is 11271395225399. The reversal of 11271395225376 is 67352259317211.

11271395225376 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 13 + 95 + 2 + 2 + 537 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 671291816976 + 10600103408400 = 819324^2 + 3255780^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76487446 + ... + 76634666.

Almost surely, 2^{11271395225376} is an apocalyptic number.

11271395225376 is a gapful number since it is divisible by the number (16) 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 11271395225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083376444860).

11271395225376 is an abundant number, since it is smaller than the sum of its proper divisors (26895357664344).

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

11271395225376 is a wasteful number, since it uses less digits than its factorization.

11271395225376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147298 (or 147250 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 11271395225376 in words is "eleven trillion, two hundred seventy-one billion, three hundred ninety-five million, two hundred twenty-five thousand, three hundred seventy-six".