26120259636120 has 1536 divisors, whose sum is σ = 103686215270400. Its totient is φ = 5804404531200.

The previous prime is 26120259636113. The next prime is 26120259636199. The reversal of 26120259636120 is 2163695202162.

26120259636120 is a `hidden beast` number, since 2 + 6 + 1 + 2 + 0 + 2 + 5 + 9 + 636 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9439918977 + ... + 9439921743.

It is an arithmetic number, because the mean of its divisors is an integer number (67504046400).

Almost surely, 2^{26120259636120} is an apocalyptic number.

26120259636120 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 26120259636120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51843107635200).

26120259636120 is an abundant number, since it is smaller than the sum of its proper divisors (77565955634280).

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

26120259636120 is a wasteful number, since it uses less digits than its factorization.

26120259636120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 26120259636120 in words is "twenty-six trillion, one hundred twenty billion, two hundred fifty-nine million, six hundred thirty-six thousand, one hundred twenty".