26611738920 has 256 divisors, whose sum is σ = 95721696000. Its totient is φ = 6537397248.

The previous prime is 26611738889. The next prime is 26611738931. The reversal of 26611738920 is 2983711662.

26611738920 is a `hidden beast` number, since 2 + 6 + 611 + 7 + 3 + 8 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8239866 + ... + 8243094.

It is an arithmetic number, because the mean of its divisors is an integer number (373912875).

Almost surely, 2^26611738920 is an apocalyptic number.

26611738920 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 26611738920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47860848000).

26611738920 is an abundant number, since it is smaller than the sum of its proper divisors (69109957080).

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

26611738920 is a wasteful number, since it uses less digits than its factorization.

26611738920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 26611738920 in words is "twenty-six billion, six hundred eleven million, seven hundred thirty-eight thousand, nine hundred twenty".