26496408960 has 1344 divisors, whose sum is σ = 118197457200. Its totient is φ = 5643509760.

The previous prime is 26496408959. The next prime is 26496408971. The reversal of 26496408960 is 6980469462.

26496408960 is a `hidden beast` number, since 2 + 64 + 96 + 408 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26496408897 and 26496408906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 434367330 + ... + 434367390.

Almost surely, 2^26496408960 is an apocalyptic number.

26496408960 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 26496408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59098728600).

26496408960 is an abundant number, since it is smaller than the sum of its proper divisors (91701048240).

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

26496408960 is an equidigital number, since it uses as much as digits as its factorization.

26496408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 26496408960 in words is "twenty-six billion, four hundred ninety-six million, four hundred eight thousand, nine hundred sixty".