11365478880 has 192 divisors, whose sum is σ = 40961023488. Its totient is φ = 2594949120.

The previous prime is 11365478833. The next prime is 11365478897. The reversal of 11365478880 is 8887456311.

It is a happy number.

It is a Cunningham number, because it is equal to 106609²-1.

It is a super-2 number, since 2×11365478880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5116170 + ... + 5118390.

It is an arithmetic number, because the mean of its divisors is an integer number (213338664).

Almost surely, 2^11365478880 is an apocalyptic number.

11365478880 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 11365478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480511744).

11365478880 is an abundant number, since it is smaller than the sum of its proper divisors (29595544608).

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

11365478880 is a wasteful number, since it uses less digits than its factorization.

11365478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 11365478880 in words is "eleven billion, three hundred sixty-five million, four hundred seventy-eight thousand, eight hundred eighty".