26541504640 has 128 divisors (see below), whose sum is σ = 73995696000. Its totient is φ = 9099869184.

The previous prime is 26541504589. The next prime is 26541504641. The reversal of 26541504640 is 4640514562.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×26541504640³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26541504640.

It is not an unprimeable number, because it can be changed into a prime (26541504641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159067 + ... + 279973.

It is an arithmetic number, because the mean of its divisors is an integer number (578091375).

Almost surely, 2^26541504640 is an apocalyptic number.

26541504640 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 26541504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36997848000).

26541504640 is an abundant number, since it is smaller than the sum of its proper divisors (47454191360).

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

26541504640 is an equidigital number, since it uses as much as digits as its factorization.

26541504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120947 (or 120921 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 26541504640 in words is "twenty-six billion, five hundred forty-one million, five hundred four thousand, six hundred forty".