26261610504640 has 448 divisors, whose sum is σ = 79701450716160. Its totient is φ = 8023732715520.

The previous prime is 26261610504553. The next prime is 26261610504643. The reversal of 26261610504640 is 4640501616262.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261610504643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397107722 + ... + 1397126518.

It is an arithmetic number, because the mean of its divisors is an integer number (177905023920).

Almost surely, 2^{26261610504640} is an apocalyptic number.

26261610504640 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 26261610504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39850725358080).

26261610504640 is an abundant number, since it is smaller than the sum of its proper divisors (53439840211520).

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

26261610504640 is a wasteful number, since it uses less digits than its factorization.

26261610504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20788 (or 20778 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 26261610504640 in words is "twenty-six trillion, two hundred sixty-one billion, six hundred ten million, five hundred four thousand, six hundred forty".