26041512960 has 308 divisors, whose sum is σ = 93674249028. Its totient is φ = 6943408128.

The previous prime is 26041512943. The next prime is 26041512961. The reversal of 26041512960 is 6921514062.

26041512960 is a `hidden beast` number, since 2 + 60 + 415 + 129 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7169347584 + 18872165376 = 84672^2 + 137376^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26041512961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3728992 + ... + 3735968.

Almost surely, 2^26041512960 is an apocalyptic number.

26041512960 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 26041512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46837124514).

26041512960 is an abundant number, since it is smaller than the sum of its proper divisors (67632736068).

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

26041512960 is an frugal number, since it uses more digits than its factorization.

26041512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 26041512960 in words is "twenty-six billion, forty-one million, five hundred twelve thousand, nine hundred sixty".