11859612769242 has 144 divisors (see below), whose sum is σ = 30064863340512. Its totient is φ = 3368769808320.

The previous prime is 11859612769219. The next prime is 11859612769247. The reversal of 11859612769242 is 24296721695811.

11859612769242 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 9 + 612 + 7 + 6 + 9 + 2 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11859612769242.

It is not an unprimeable number, because it can be changed into a prime (11859612769247) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 696509533 + ... + 696526559.

It is an arithmetic number, because the mean of its divisors is an integer number (208783773198).

Almost surely, 2^{11859612769242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11859612769242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032431670256).

11859612769242 is an abundant number, since it is smaller than the sum of its proper divisors (18205250571270).

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

11859612769242 is a wasteful number, since it uses less digits than its factorization.

11859612769242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21593 (or 21583 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 11859612769242 in words is "eleven trillion, eight hundred fifty-nine billion, six hundred twelve million, seven hundred sixty-nine thousand, two hundred forty-two".