26461480320 has 288 divisors, whose sum is σ = 100439408160. Its totient is φ = 6414735360.

The previous prime is 26461480303. The next prime is 26461480333. The reversal of 26461480320 is 2308416462.

26461480320 is a `hidden beast` number, since 2 + 6 + 4 + 614 + 8 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 677977 + ... + 715943.

It is an arithmetic number, because the mean of its divisors is an integer number (348747945).

Almost surely, 2^26461480320 is an apocalyptic number.

26461480320 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 26461480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50219704080).

26461480320 is an abundant number, since it is smaller than the sum of its proper divisors (73977927840).

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

26461480320 is a wasteful number, since it uses less digits than its factorization.

26461480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38014 (or 37988 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 26461480320 its reverse (2308416462), we get a palindrome (28769896782).

The spelling of 26461480320 in words is "twenty-six billion, four hundred sixty-one million, four hundred eighty thousand, three hundred twenty".