11758731264 has 264 divisors, whose sum is σ = 39258676080. Its totient is φ = 3321888768.

The previous prime is 11758731251. The next prime is 11758731269. The reversal of 11758731264 is 46213785711.

11758731264 is a `hidden beast` number, since 1 + 1 + 7 + 587 + 3 + 1 + 2 + 64 = 666.

Its product of digits (282240) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11758731269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132120532 + ... + 132120620.

Almost surely, 2^11758731264 is an apocalyptic number.

11758731264 is a gapful number since it is divisible by the number (14) 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 11758731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629338040).

11758731264 is an abundant number, since it is smaller than the sum of its proper divisors (27499944816).

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

11758731264 is an frugal number, since it uses more digits than its factorization.

11758731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 11758731264 in words is "eleven billion, seven hundred fifty-eight million, seven hundred thirty-one thousand, two hundred sixty-four".