11522812840 has 384 divisors, whose sum is σ = 35519212800. Its totient is φ = 3256934400.

The previous prime is 11522812837. The next prime is 11522812843. The reversal of 11522812840 is 4821822511.

It is an interprime number because it is at equal distance from previous prime (11522812837) and next prime (11522812843).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 11522812796 and 11522812805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11522812843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50317846 + ... + 50318074.

It is an arithmetic number, because the mean of its divisors is an integer number (92497950).

Almost surely, 2^11522812840 is an apocalyptic number.

11522812840 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 11522812840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759606400).

11522812840 is an abundant number, since it is smaller than the sum of its proper divisors (23996399960).

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

11522812840 is a wasteful number, since it uses less digits than its factorization.

11522812840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 11522812840 in words is "eleven billion, five hundred twenty-two million, eight hundred twelve thousand, eight hundred forty".