11236137560704 has 128 divisors (see below), whose sum is σ = 26041769164800. Its totient is φ = 4729633459200.

The previous prime is 11236137560699. The next prime is 11236137560723. The reversal of 11236137560704 is 40706573163211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13104199 + ... + 13935289.

It is an arithmetic number, because the mean of its divisors is an integer number (203451321600).

Almost surely, 2^{11236137560704} is an apocalyptic number.

11236137560704 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 11236137560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020884582400).

11236137560704 is an abundant number, since it is smaller than the sum of its proper divisors (14805631604096).

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

11236137560704 is an equidigital number, since it uses as much as digits as its factorization.

11236137560704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831382 (or 831370 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 11236137560704 in words is "eleven trillion, two hundred thirty-six billion, one hundred thirty-seven million, five hundred sixty thousand, seven hundred four".