26034638784 has 168 divisors, whose sum is σ = 86531647104. Its totient is φ = 6762201600.

The previous prime is 26034638783. The next prime is 26034638807. The reversal of 26034638784 is 48783643062.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×26034638784² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26034638783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82579 + ... + 242669.

It is an arithmetic number, because the mean of its divisors is an integer number (515069328).

Almost surely, 2^26034638784 is an apocalyptic number.

26034638784 is a gapful number since it is divisible by the number (24) 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 26034638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43265823552).

26034638784 is an abundant number, since it is smaller than the sum of its proper divisors (60497008320).

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

26034638784 is a wasteful number, since it uses less digits than its factorization.

26034638784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160135 (or 160114 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 26034638784 in words is "twenty-six billion, thirty-four million, six hundred thirty-eight thousand, seven hundred eighty-four".