11700812268288 has 1728 divisors, whose sum is σ = 42540692113920. Its totient is φ = 3179177164800.

The previous prime is 11700812268283. The next prime is 11700812268307. The reversal of 11700812268288 is 88286221800711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11700812268283) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64645371558 + ... + 64645371738.

Almost surely, 2^{11700812268288} is an apocalyptic number.

11700812268288 is a gapful number since it is divisible by the number (18) 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 11700812268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21270346056960).

11700812268288 is an abundant number, since it is smaller than the sum of its proper divisors (30839879845632).

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

11700812268288 is an equidigital number, since it uses as much as digits as its factorization.

11700812268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 11700812268288 in words is "eleven trillion, seven hundred billion, eight hundred twelve million, two hundred sixty-eight thousand, two hundred eighty-eight".