26461060645824 has 336 divisors, whose sum is σ = 87282149560320. Its totient is φ = 7507900108800.

The previous prime is 26461060645819. The next prime is 26461060645837. The reversal of 26461060645824 is 42854606016462.

26461060645824 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 1 + 0 + 606 + 4 + 5 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3214020012 + ... + 3214028244.

Almost surely, 2^{26461060645824} is an apocalyptic number.

26461060645824 is a gapful number since it is divisible by the number (24) 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 26461060645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43641074780160).

26461060645824 is an abundant number, since it is smaller than the sum of its proper divisors (60821088914496).

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

26461060645824 is a wasteful number, since it uses less digits than its factorization.

26461060645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13688 (or 13675 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 26461060645824 in words is "twenty-six trillion, four hundred sixty-one billion, sixty million, six hundred forty-five thousand, eight hundred twenty-four".