26005627920 has 160 divisors (see below), whose sum is σ = 81300510720. Its totient is φ = 6876334080.

The previous prime is 26005627873. The next prime is 26005627927. The reversal of 26005627920 is 2972650062.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26005627927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18197766 + ... + 18199194.

It is an arithmetic number, because the mean of its divisors is an integer number (508128192).

Almost surely, 2^26005627920 is an apocalyptic number.

26005627920 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 26005627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40650255360).

26005627920 is an abundant number, since it is smaller than the sum of its proper divisors (55294882800).

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

26005627920 is a wasteful number, since it uses less digits than its factorization.

26005627920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 26005627920 in words is "twenty-six billion, five million, six hundred twenty-seven thousand, nine hundred twenty".