26398712160 has 192 divisors, whose sum is σ = 95376476160. Its totient is φ = 6812536320.

The previous prime is 26398712147. The next prime is 26398712161. The reversal of 26398712160 is 6121789362.

26398712160 is a `hidden beast` number, since 2 + 639 + 8 + 7 + 1 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26398712161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35359 + ... + 232481.

It is an arithmetic number, because the mean of its divisors is an integer number (496752480).

Almost surely, 2^26398712160 is an apocalyptic number.

26398712160 is a gapful number since it is divisible by the number (20) 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 26398712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47688238080).

26398712160 is an abundant number, since it is smaller than the sum of its proper divisors (68977764000).

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

26398712160 is a wasteful number, since it uses less digits than its factorization.

26398712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197178 (or 197164 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 26398712160 in words is "twenty-six billion, three hundred ninety-eight million, seven hundred twelve thousand, one hundred sixty".