11161946880 has 1152 divisors, whose sum is σ = 49212979200. Its totient is φ = 2341011456.

The previous prime is 11161946867. The next prime is 11161946881. The reversal of 11161946880 is 8864916111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (11161946881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259580139 + ... + 259580181.

It is an arithmetic number, because the mean of its divisors is an integer number (42719600).

Almost surely, 2^11161946880 is an apocalyptic number.

11161946880 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 11161946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606489600).

11161946880 is an abundant number, since it is smaller than the sum of its proper divisors (38051032320).

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

11161946880 is a wasteful number, since it uses less digits than its factorization.

11161946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11161946880 in words is "eleven billion, one hundred sixty-one million, nine hundred forty-six thousand, eight hundred eighty".