26506202242280 has 128 divisors (see below), whose sum is σ = 61944912691200. Its totient is φ = 10200000045312.

The previous prime is 26506202242253. The next prime is 26506202242283. The reversal of 26506202242280 is 8224220260562.

It is not an unprimeable number, because it can be changed into a prime (26506202242283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703585141 + ... + 1703600699.

It is an arithmetic number, because the mean of its divisors is an integer number (483944630400).

Almost surely, 2^{26506202242280} is an apocalyptic number.

26506202242280 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 26506202242280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30972456345600).

26506202242280 is an abundant number, since it is smaller than the sum of its proper divisors (35438710448920).

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

26506202242280 is a wasteful number, since it uses less digits than its factorization.

26506202242280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30463 (or 30459 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 26506202242280 in words is "twenty-six trillion, five hundred six billion, two hundred two million, two hundred forty-two thousand, two hundred eighty".