26442002026620 has 144 divisors (see below), whose sum is σ = 80571189404160. Its totient is φ = 7019250480000.

The previous prime is 26442002026619. The next prime is 26442002026633. The reversal of 26442002026620 is 2662020024462.

26442002026620 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 2 + 0 + 0 + 2 + 0 + 26 + 620 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82564761 + ... + 82884399.

It is an arithmetic number, because the mean of its divisors is an integer number (559522148640).

Almost surely, 2^{26442002026620} is an apocalyptic number.

26442002026620 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 26442002026620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40285594702080).

26442002026620 is an abundant number, since it is smaller than the sum of its proper divisors (54129187377540).

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

26442002026620 is a wasteful number, since it uses less digits than its factorization.

26442002026620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321736 (or 321731 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26442002026620 in words is "twenty-six trillion, four hundred forty-two billion, two million, twenty-six thousand, six hundred twenty".