26407600128 has 608 divisors, whose sum is σ = 98649841920. Its totient is φ = 6794772480.

The previous prime is 26407600127. The next prime is 26407600181. The reversal of 26407600128 is 82100670462.

26407600128 is a `hidden beast` number, since 2 + 6 + 40 + 7 + 600 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×26407600128² (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 = 26407600092 and 26407600101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26407600123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644087788 + ... + 644087828.

Almost surely, 2^26407600128 is an apocalyptic number.

26407600128 is a gapful number since it is divisible by the number (28) 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 26407600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49324920960).

26407600128 is an abundant number, since it is smaller than the sum of its proper divisors (72242241792).

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

26407600128 is an frugal number, since it uses more digits than its factorization.

26407600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 26407600128 in words is "twenty-six billion, four hundred seven million, six hundred thousand, one hundred twenty-eight".