11072168800 has 144 divisors (see below), whose sum is σ = 33699843072. Its totient is φ = 3451046400.

The previous prime is 11072168749. The next prime is 11072168803. The reversal of 11072168800 is 886127011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11072168803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28272 + ... + 151471.

It is an arithmetic number, because the mean of its divisors is an integer number (234026688).

Almost surely, 2^11072168800 is an apocalyptic number.

11072168800 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 11072168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849921536).

11072168800 is an abundant number, since it is smaller than the sum of its proper divisors (22627674272).

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

11072168800 is a wasteful number, since it uses less digits than its factorization.

11072168800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179781 (or 179768 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 11072168800 in words is "eleven billion, seventy-two million, one hundred sixty-eight thousand, eight hundred".