11809722240 has 192 divisors, whose sum is σ = 42291390960. Its totient is φ = 3149217792.

The previous prime is 11809722233. The next prime is 11809722247. The reversal of 11809722240 is 4222790811.

It is an interprime number because it is at equal distance from previous prime (11809722233) and next prime (11809722247).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11809722195 and 11809722204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11809722247) 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, 117552 + ... + 193488.

Almost surely, 2^11809722240 is an apocalyptic number.

11809722240 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 11809722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21145695480).

11809722240 is an abundant number, since it is smaller than the sum of its proper divisors (30481668720).

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

11809722240 is an frugal number, since it uses more digits than its factorization.

11809722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75971 (or 75947 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11809722240 in words is "eleven billion, eight hundred nine million, seven hundred twenty-two thousand, two hundred forty".