26210125264120 has 256 divisors, whose sum is σ = 73156887936000. Its totient is φ = 8245725143040.

The previous prime is 26210125264051. The next prime is 26210125264139. The reversal of 26210125264120 is 2146252101262.

It is a super-2 number, since 2×26210125264120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110613531 + ... + 110850229.

It is an arithmetic number, because the mean of its divisors is an integer number (285769093500).

Almost surely, 2^{26210125264120} is an apocalyptic number.

26210125264120 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 26210125264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36578443968000).

26210125264120 is an abundant number, since it is smaller than the sum of its proper divisors (46946762671880).

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

26210125264120 is a wasteful number, since it uses less digits than its factorization.

26210125264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237318 (or 237314 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 26210125264120 its reverse (2146252101262), we get a palindrome (28356377365382).

The spelling of 26210125264120 in words is "twenty-six trillion, two hundred ten billion, one hundred twenty-five million, two hundred sixty-four thousand, one hundred twenty".