11259585265920 has 144 divisors (see below), whose sum is σ = 35972131977600. Its totient is φ = 3001568182272.

The previous prime is 11259585265883. The next prime is 11259585265927. The reversal of 11259585265920 is 2956258595211.

It is a happy number.

It is a super-2 number, since 2×11259585265920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (11259585265927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11227317 + ... + 12189003.

Almost surely, 2^{11259585265920} is an apocalyptic number.

11259585265920 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 11259585265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17986065988800).

11259585265920 is an abundant number, since it is smaller than the sum of its proper divisors (24712546711680).

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

11259585265920 is an equidigital number, since it uses as much as digits as its factorization.

11259585265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964760 (or 964746 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 60.

The spelling of 11259585265920 in words is "eleven trillion, two hundred fifty-nine billion, five hundred eighty-five million, two hundred sixty-five thousand, nine hundred twenty".