26630656416 has 540 divisors, whose sum is σ = 98893834578. Its totient is φ = 6968166912.

The previous prime is 26630656411. The next prime is 26630656433. The reversal of 26630656416 is 61465603662.

26630656416 is a `hidden beast` number, since 2 + 6 + 630 + 6 + 5 + 6 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25606400400 + 1024256016 = 160020^2 + 32004^2 .

It is a super-2 number, since 2×26630656416² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26630656411) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 209690145 + ... + 209690271.

Almost surely, 2^26630656416 is an apocalyptic number.

26630656416 is a gapful number since it is divisible by the number (26) 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 26630656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49446917289).

26630656416 is an abundant number, since it is smaller than the sum of its proper divisors (72263178162).

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

26630656416 is a wasteful number, since it uses less digits than its factorization.

26630656416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26630656416 in words is "twenty-six billion, six hundred thirty million, six hundred fifty-six thousand, four hundred sixteen".