26121276720 has 1080 divisors, whose sum is σ = 116584256880. Its totient is φ = 5215795200.

The previous prime is 26121276707. The next prime is 26121276737. The reversal of 26121276720 is 2767212162.

It is a happy number.

26121276720 is a `hidden beast` number, since 2 + 612 + 12 + 7 + 6 + 7 + 20 = 666.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 123797415 + ... + 123797625.

It is an arithmetic number, because the mean of its divisors is an integer number (107948386).

Almost surely, 2^26121276720 is an apocalyptic number.

26121276720 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 26121276720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58292128440).

26121276720 is an abundant number, since it is smaller than the sum of its proper divisors (90462980160).

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

26121276720 is a wasteful number, since it uses less digits than its factorization.

26121276720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 26121276720 its reverse (2767212162), we get a palindrome (28888488882).

The spelling of 26121276720 in words is "twenty-six billion, one hundred twenty-one million, two hundred seventy-six thousand, seven hundred twenty".