11177844480 has 648 divisors, whose sum is σ = 44172548784. Its totient is φ = 2709780480.

The previous prime is 11177844443. The next prime is 11177844487. The reversal of 11177844480 is 8444877111.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11177844487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1016167675 + ... + 1016167685.

Almost surely, 2^11177844480 is an apocalyptic number.

11177844480 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 11177844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22086274392).

11177844480 is an abundant number, since it is smaller than the sum of its proper divisors (32994704304).

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

11177844480 is an frugal number, since it uses more digits than its factorization.

11177844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 11177844480 in words is "eleven billion, one hundred seventy-seven million, eight hundred forty-four thousand, four hundred eighty".