11565755379840 has 512 divisors, whose sum is σ = 39020591232000. Its totient is φ = 2905780469760.

The previous prime is 11565755379833. The next prime is 11565755379877. The reversal of 11565755379840 is 4897355756511.

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 63 ways as a sum of consecutive naturals, for example, 5820711327 + ... + 5820713313.

It is an arithmetic number, because the mean of its divisors is an integer number (76212092250).

Almost surely, 2^{11565755379840} is an apocalyptic number.

11565755379840 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 11565755379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19510295616000).

11565755379840 is an abundant number, since it is smaller than the sum of its proper divisors (27454835852160).

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

11565755379840 is a wasteful number, since it uses less digits than its factorization.

11565755379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 158760000, while the sum is 66.

The spelling of 11565755379840 in words is "eleven trillion, five hundred sixty-five billion, seven hundred fifty-five million, three hundred seventy-nine thousand, eight hundred forty".