22511315340 has 192 divisors, whose sum is σ = 74814606720. Its totient is φ = 5599641600.

The previous prime is 22511315329. The next prime is 22511315341. The reversal of 22511315340 is 4351311522.

22511315340 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 1 + 315 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22511315341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026490 + ... + 1048190.

It is an arithmetic number, because the mean of its divisors is an integer number (389659410).

Almost surely, 2^22511315340 is an apocalyptic number.

22511315340 is a gapful number since it is divisible by the number (20) 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 22511315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37407303360).

22511315340 is an abundant number, since it is smaller than the sum of its proper divisors (52303291380).

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

22511315340 is a wasteful number, since it uses less digits than its factorization.

22511315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21849 (or 21841 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 22511315340 its reverse (4351311522), we get a palindrome (26862626862).

The spelling of 22511315340 in words is "twenty-two billion, five hundred eleven million, three hundred fifteen thousand, three hundred forty".