11367882240 has 480 divisors, whose sum is σ = 43064306208. Its totient is φ = 2541158400.

The previous prime is 11367882233. The next prime is 11367882241. The reversal of 11367882240 is 4228876311.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 11367882192 and 11367882201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11367882241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12080170 + ... + 12081110.

Almost surely, 2^11367882240 is an apocalyptic number.

11367882240 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 11367882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21532153104).

11367882240 is an abundant number, since it is smaller than the sum of its proper divisors (31696423968).

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

11367882240 is a wasteful number, since it uses less digits than its factorization.

11367882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11367882240 in words is "eleven billion, three hundred sixty-seven million, eight hundred eighty-two thousand, two hundred forty".