26296516512 has 480 divisors, whose sum is σ = 90890553600. Its totient is φ = 7304048640.

The previous prime is 26296516489. The next prime is 26296516541. The reversal of 26296516512 is 21561569262.

26296516512 is a `hidden beast` number, since 2 + 62 + 9 + 65 + 16 + 512 = 666.

It is a super-2 number, since 2×26296516512² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176486614 + ... + 176486762.

It is an arithmetic number, because the mean of its divisors is an integer number (189355320).

Almost surely, 2^26296516512 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 26296516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45445276800).

26296516512 is an abundant number, since it is smaller than the sum of its proper divisors (64594037088).

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

26296516512 is a wasteful number, since it uses less digits than its factorization.

26296516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 26296516512 in words is "twenty-six billion, two hundred ninety-six million, five hundred sixteen thousand, five hundred twelve".