26012642507280 has 960 divisors, whose sum is σ = 103828176571392. Its totient is φ = 5753314344960.

The previous prime is 26012642507191. The next prime is 26012642507287. The reversal of 26012642507280 is 8270524621062.

26012642507280 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 2 + 64 + 2 + 507 + 2 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26012642507287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10915920969 + ... + 10915923351.

Almost surely, 2^{26012642507280} is an apocalyptic number.

26012642507280 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 26012642507280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51914088285696).

26012642507280 is an abundant number, since it is smaller than the sum of its proper divisors (77815534064112).

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

26012642507280 is a wasteful number, since it uses less digits than its factorization.

26012642507280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 26012642507280 in words is "twenty-six trillion, twelve billion, six hundred forty-two million, five hundred seven thousand, two hundred eighty".