11522807280 has 560 divisors, whose sum is σ = 42351039360. Its totient is φ = 2911334400.

The previous prime is 11522807267. The next prime is 11522807287. The reversal of 11522807280 is 8270822511.

It is a super-2 number, since 2×11522807280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11522807287) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 145858281 + ... + 145858359.

It is an arithmetic number, because the mean of its divisors is an integer number (75626856).

Almost surely, 2^11522807280 is an apocalyptic number.

11522807280 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 11522807280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21175519680).

11522807280 is an abundant number, since it is smaller than the sum of its proper divisors (30828232080).

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

11522807280 is an equidigital number, since it uses as much as digits as its factorization.

11522807280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11522807280 in words is "eleven billion, five hundred twenty-two million, eight hundred seven thousand, two hundred eighty".