26512198225920 has 1248 divisors, whose sum is σ = 105099722792064. Its totient is φ = 6123788697600.

The previous prime is 26512198225901. The next prime is 26512198225927. The reversal of 26512198225920 is 2952289121562.

26512198225920 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 21 + 9 + 8 + 22 + 592 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26512198225927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3574514052 + ... + 3574521468.

It is an arithmetic number, because the mean of its divisors is an integer number (84214521468).

Almost surely, 2^{26512198225920} is an apocalyptic number.

26512198225920 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 26512198225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52549861396032).

26512198225920 is an abundant number, since it is smaller than the sum of its proper divisors (78587524566144).

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

26512198225920 is a wasteful number, since it uses less digits than its factorization.

26512198225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 26512198225920 in words is "twenty-six trillion, five hundred twelve billion, one hundred ninety-eight million, two hundred twenty-five thousand, nine hundred twenty".