26105212980 has 768 divisors, whose sum is σ = 107280875520. Its totient is φ = 5173217280.

The previous prime is 26105212967. The next prime is 26105212997. The reversal of 26105212980 is 8921250162.

26105212980 is a `hidden beast` number, since 26 + 10 + 521 + 29 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77463372 + ... + 77463708.

It is an arithmetic number, because the mean of its divisors is an integer number (139688640).

Almost surely, 2^26105212980 is an apocalyptic number.

26105212980 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 26105212980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53640437760).

26105212980 is an abundant number, since it is smaller than the sum of its proper divisors (81175662540).

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

26105212980 is a wasteful number, since it uses less digits than its factorization.

26105212980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 26105212980 in words is "twenty-six billion, one hundred five million, two hundred twelve thousand, nine hundred eighty".