26163224401300 has 576 divisors, whose sum is σ = 68588750039040. Its totient is φ = 8478363156480.

The previous prime is 26163224401291. The next prime is 26163224401319. The reversal of 26163224401300 is 310442236162.

It is a super-2 number, since 2×26163224401300² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25929855196 + ... + 25929856204.

It is an arithmetic number, because the mean of its divisors is an integer number (119077691040).

Almost surely, 2^{26163224401300} is an apocalyptic number.

26163224401300 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 26163224401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34294375019520).

26163224401300 is an abundant number, since it is smaller than the sum of its proper divisors (42425525637740).

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

26163224401300 is a wasteful number, since it uses less digits than its factorization.

26163224401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 26163224401300 its reverse (310442236162), we get a palindrome (26473666637462).

The spelling of 26163224401300 in words is "twenty-six trillion, one hundred sixty-three billion, two hundred twenty-four million, four hundred one thousand, three hundred".