20611467360 has 480 divisors, whose sum is σ = 79930996992. Its totient is φ = 4960465920.

The previous prime is 20611467353. The next prime is 20611467361. The reversal of 20611467360 is 6376411602.

It is a happy number.

20611467360 is a `hidden beast` number, since 2 + 0 + 611 + 4 + 6 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (20611467361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23236837 + ... + 23237723.

Almost surely, 2^20611467360 is an apocalyptic number.

20611467360 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 20611467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39965498496).

20611467360 is an abundant number, since it is smaller than the sum of its proper divisors (59319529632).

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

20611467360 is a wasteful number, since it uses less digits than its factorization.

20611467360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 20611467360 its reverse (6376411602), we get a palindrome (26987878962).

The spelling of 20611467360 in words is "twenty billion, six hundred eleven million, four hundred sixty-seven thousand, three hundred sixty".