26385016896 has 224 divisors, whose sum is σ = 89647776000. Its totient is φ = 7453569024.

The previous prime is 26385016883. The next prime is 26385016909. The reversal of 26385016896 is 69861058362.

It is a happy number.

26385016896 is a `hidden beast` number, since 26 + 38 + 501 + 6 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (26385016883) and next prime (26385016909).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064290 + ... + 1088798.

Almost surely, 2^26385016896 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 26385016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44823888000).

26385016896 is an abundant number, since it is smaller than the sum of its proper divisors (63262759104).

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

26385016896 is a wasteful number, since it uses less digits than its factorization.

26385016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24626 (or 24610 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 26385016896 in words is "twenty-six billion, three hundred eighty-five million, sixteen thousand, eight hundred ninety-six".