11759286240 has 768 divisors, whose sum is σ = 47780409600. Its totient is φ = 2675441664.

The previous prime is 11759286229. The next prime is 11759286317. The reversal of 11759286240 is 4268295711.

11759286240 is a `hidden beast` number, since 1 + 17 + 5 + 9 + 2 + 8 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104064424 + ... + 104064536.

It is an arithmetic number, because the mean of its divisors is an integer number (62214075).

Almost surely, 2^11759286240 is an apocalyptic number.

11759286240 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 11759286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23890204800).

11759286240 is an abundant number, since it is smaller than the sum of its proper divisors (36021123360).

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

11759286240 is a wasteful number, since it uses less digits than its factorization.

11759286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11759286240 in words is "eleven billion, seven hundred fifty-nine million, two hundred eighty-six thousand, two hundred forty".