26381811456 has 1440 divisors, whose sum is σ = 111687561216. Its totient is φ = 5971968000.

The previous prime is 26381811451. The next prime is 26381811461. The reversal of 26381811456 is 65411818362.

26381811456 is a `hidden beast` number, since 2 + 638 + 1 + 8 + 1 + 1 + 4 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26381811451) and next prime (26381811461).

Its product of digits (276480) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26381811451) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 643458796 + ... + 643458836.

Almost surely, 2^26381811456 is an apocalyptic number.

26381811456 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 26381811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55843780608).

26381811456 is an abundant number, since it is smaller than the sum of its proper divisors (85305749760).

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

26381811456 is a wasteful number, since it uses less digits than its factorization.

26381811456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 26381811456 in words is "twenty-six billion, three hundred eighty-one million, eight hundred eleven thousand, four hundred fifty-six".