20611150560 has 1152 divisors, whose sum is σ = 96160296960. Its totient is φ = 3881779200.

The previous prime is 20611150519. The next prime is 20611150597. The reversal of 20611150560 is 6505111602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113873670 + ... + 113873850.

It is an arithmetic number, because the mean of its divisors is an integer number (83472480).

Almost surely, 2^20611150560 is an apocalyptic number.

20611150560 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 20611150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48080148480).

20611150560 is an abundant number, since it is smaller than the sum of its proper divisors (75549146400).

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

20611150560 is a wasteful number, since it uses less digits than its factorization.

20611150560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

It can be divided in two parts, 20611 and 150560, that added together give a palindrome (171171).

The spelling of 20611150560 in words is "twenty billion, six hundred eleven million, one hundred fifty thousand, five hundred sixty".