26435904768 has 864 divisors, whose sum is σ = 100186087680. Its totient is φ = 6728417280.

The previous prime is 26435904743. The next prime is 26435904779. The reversal of 26435904768 is 86740953462.

26435904768 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 590 + 47 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433375458 + ... + 433375518.

It is an arithmetic number, because the mean of its divisors is an integer number (115956120).

Almost surely, 2^26435904768 is an apocalyptic number.

26435904768 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 26435904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50093043840).

26435904768 is an abundant number, since it is smaller than the sum of its proper divisors (73750182912).

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

26435904768 is a wasteful number, since it uses less digits than its factorization.

26435904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 26435904768 in words is "twenty-six billion, four hundred thirty-five million, nine hundred four thousand, seven hundred sixty-eight".