26460582120 has 384 divisors, whose sum is σ = 103583318400. Its totient is φ = 5990326272.

The previous prime is 26460582037. The next prime is 26460582121. The reversal of 26460582120 is 2128506462.

It is a happy number.

26460582120 is a `hidden beast` number, since 2 + 6 + 4 + 60 + 582 + 12 + 0 = 666.

It is a super-2 number, since 2×26460582120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26460582121) 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, 5660104 + ... + 5664776.

It is an arithmetic number, because the mean of its divisors is an integer number (269748225).

Almost surely, 2^26460582120 is an apocalyptic number.

26460582120 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 26460582120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51791659200).

26460582120 is an abundant number, since it is smaller than the sum of its proper divisors (77122736280).

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

26460582120 is a wasteful number, since it uses less digits than its factorization.

26460582120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 26460582120 in words is "twenty-six billion, four hundred sixty million, five hundred eighty-two thousand, one hundred twenty".