26261584536880 has 640 divisors, whose sum is σ = 78721818624000. Its totient is φ = 7911698595840.

The previous prime is 26261584536841. The next prime is 26261584536881. The reversal of 26261584536880 is 8863548516262.

It is not an unprimeable number, because it can be changed into a prime (26261584536881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7378920541 + ... + 7378924099.

It is an arithmetic number, because the mean of its divisors is an integer number (123002841600).

Almost surely, 2^{26261584536880} is an apocalyptic number.

26261584536880 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 26261584536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39360909312000).

26261584536880 is an abundant number, since it is smaller than the sum of its proper divisors (52460234087120).

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

26261584536880 is a wasteful number, since it uses less digits than its factorization.

26261584536880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 64.

The spelling of 26261584536880 in words is "twenty-six trillion, two hundred sixty-one billion, five hundred eighty-four million, five hundred thirty-six thousand, eight hundred eighty".