26824705252240 has 160 divisors (see below), whose sum is σ = 71684041927680. Its totient is φ = 9144542449152.

The previous prime is 26824705252183. The next prime is 26824705252253. The reversal of 26824705252240 is 4225250742862.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568045767 + ... + 1568062873.

It is an arithmetic number, because the mean of its divisors is an integer number (448025262048).

Almost surely, 2^{26824705252240} is an apocalyptic number.

26824705252240 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 26824705252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35842020963840).

26824705252240 is an abundant number, since it is smaller than the sum of its proper divisors (44859336675440).

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

26824705252240 is a wasteful number, since it uses less digits than its factorization.

26824705252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32949 (or 32943 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 49.

The spelling of 26824705252240 in words is "twenty-six trillion, eight hundred twenty-four billion, seven hundred five million, two hundred fifty-two thousand, two hundred forty".