26120403564600 has 192 divisors, whose sum is σ = 84559333213440. Its totient is φ = 6657430348800.

The previous prime is 26120403564583. The next prime is 26120403564617. The reversal of 26120403564600 is 646530402162.

It is an interprime number because it is at equal distance from previous prime (26120403564583) and next prime (26120403564617).

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, 17082732 + ... + 18548868.

It is an arithmetic number, because the mean of its divisors is an integer number (440413193820).

Almost surely, 2^{26120403564600} is an apocalyptic number.

26120403564600 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 26120403564600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42279666606720).

26120403564600 is an abundant number, since it is smaller than the sum of its proper divisors (58438929648840).

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

26120403564600 is a wasteful number, since it uses less digits than its factorization.

26120403564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467470 (or 1467461 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 26120403564600 its reverse (646530402162), we get a palindrome (26766933966762).

The spelling of 26120403564600 in words is "twenty-six trillion, one hundred twenty billion, four hundred three million, five hundred sixty-four thousand, six hundred".