11259214215520 has 96 divisors (see below), whose sum is σ = 28169964345600. Its totient is φ = 4237954646016.

The previous prime is 11259214215499. The next prime is 11259214215521. The reversal of 11259214215520 is 2551241295211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11259214215521) 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, 13966816 + ... + 14750944.

It is an arithmetic number, because the mean of its divisors is an integer number (293437128600).

Almost surely, 2^{11259214215520} is an apocalyptic number.

11259214215520 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 11259214215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14084982172800).

11259214215520 is an abundant number, since it is smaller than the sum of its proper divisors (16910750130080).

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

11259214215520 is a wasteful number, since it uses less digits than its factorization.

11259214215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789440 (or 789432 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

The spelling of 11259214215520 in words is "eleven trillion, two hundred fifty-nine billion, two hundred fourteen million, two hundred fifteen thousand, five hundred twenty".