11582781840 has 320 divisors, whose sum is σ = 45731596800. Its totient is φ = 2639609856.

The previous prime is 11582781839. The next prime is 11582781841. The reversal of 11582781840 is 4818728511.

11582781840 is a `hidden beast` number, since 11 + 582 + 7 + 8 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11582781839) and next prime (11582781841).

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

It is not an unprimeable number, because it can be changed into a prime (11582781841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6183144 + ... + 6185016.

It is an arithmetic number, because the mean of its divisors is an integer number (142911240).

Almost surely, 2^11582781840 is an apocalyptic number.

11582781840 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 11582781840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22865798400).

11582781840 is an abundant number, since it is smaller than the sum of its proper divisors (34148814960).

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

11582781840 is a wasteful number, since it uses less digits than its factorization.

11582781840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 11582781840 in words is "eleven billion, five hundred eighty-two million, seven hundred eighty-one thousand, eight hundred forty".