26640016128 has 504 divisors, whose sum is σ = 91687135680. Its totient is φ = 7636654080.

The previous prime is 26640016069. The next prime is 26640016181. The reversal of 26640016128 is 82161004662.

26640016128 is a `hidden beast` number, since 2 + 6 + 640 + 0 + 1 + 6 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×26640016128² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26640016092 and 26640016101.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 39004075 + ... + 39004757.

It is an arithmetic number, because the mean of its divisors is an integer number (181918920).

Almost surely, 2^26640016128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26640016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45843567840).

26640016128 is an abundant number, since it is smaller than the sum of its proper divisors (65047119552).

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

26640016128 is an equidigital number, since it uses as much as digits as its factorization.

26640016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26640016128 in words is "twenty-six billion, six hundred forty million, sixteen thousand, one hundred twenty-eight".