26365103072 has 144 divisors (see below), whose sum is σ = 69745436208. Its totient is φ = 9667768320.

The previous prime is 26365103071. The next prime is 26365103077. The reversal of 26365103072 is 27030156362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26365103071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248258 + ... + 338174.

It is an arithmetic number, because the mean of its divisors is an integer number (484343307).

Almost surely, 2^26365103072 is an apocalyptic number.

26365103072 is a gapful number since it is divisible by the number (22) 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 26365103072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34872718104).

26365103072 is an abundant number, since it is smaller than the sum of its proper divisors (43380333136).

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

26365103072 is a wasteful number, since it uses less digits than its factorization.

26365103072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89969 (or 89954 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 26365103072 in words is "twenty-six billion, three hundred sixty-five million, one hundred three thousand, seventy-two".