11822747040 has 768 divisors, whose sum is σ = 47490831360. Its totient is φ = 2759049216.

The previous prime is 11822747029. The next prime is 11822747051. The reversal of 11822747040 is 4074722811.

11822747040 is a `hidden beast` number, since 1 + 182 + 2 + 7 + 470 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11822747029) and next prime (11822747051).

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 = 11822746986 and 11822747004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104626024 + ... + 104626136.

It is an arithmetic number, because the mean of its divisors is an integer number (61837020).

Almost surely, 2^11822747040 is an apocalyptic number.

11822747040 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 11822747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23745415680).

11822747040 is an abundant number, since it is smaller than the sum of its proper divisors (35668084320).

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

11822747040 is a wasteful number, since it uses less digits than its factorization.

11822747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 11822747040 in words is "eleven billion, eight hundred twenty-two million, seven hundred forty-seven thousand, forty".