11071541376 has 960 divisors, whose sum is σ = 42772435200. Its totient is φ = 2821754880.

The previous prime is 11071541353. The next prime is 11071541389. The reversal of 11071541376 is 67314517011.

It is a happy number.

11071541376 is a `hidden beast` number, since 1 + 10 + 71 + 541 + 37 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11071541376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 299230830 + ... + 299230866.

It is an arithmetic number, because the mean of its divisors is an integer number (44554620).

Almost surely, 2^11071541376 is an apocalyptic number.

11071541376 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 11071541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386217600).

11071541376 is an abundant number, since it is smaller than the sum of its proper divisors (31700893824).

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

11071541376 is a wasteful number, since it uses less digits than its factorization.

11071541376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 11071541376 in words is "eleven billion, seventy-one million, five hundred forty-one thousand, three hundred seventy-six".