26541441860640 has 384 divisors, whose sum is σ = 101351486089728. Its totient is φ = 5699497820160.

The previous prime is 26541441860573. The next prime is 26541441860693. The reversal of 26541441860640 is 4606814414562.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31398730 + ... + 32232950.

It is an arithmetic number, because the mean of its divisors is an integer number (263936161692).

Almost surely, 2^{26541441860640} is an apocalyptic number.

26541441860640 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 26541441860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50675743044864).

26541441860640 is an abundant number, since it is smaller than the sum of its proper divisors (74810044229088).

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

26541441860640 is a wasteful number, since it uses less digits than its factorization.

26541441860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834820 (or 834812 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 26541441860640 in words is "twenty-six trillion, five hundred forty-one billion, four hundred forty-one million, eight hundred sixty thousand, six hundred forty".