26505493404480 has 336 divisors, whose sum is σ = 93803518833024. Its totient is φ = 6865608314880.

The previous prime is 26505493404431. The next prime is 26505493404497. The reversal of 26505493404480 is 8440439450562.

26505493404480 is a `hidden beast` number, since 2 + 6 + 50 + 549 + 3 + 4 + 0 + 4 + 48 + 0 = 666.

It is a super-2 number, since 2×26505493404480² (a number of 28 digits) contains 22 as substring.

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, 21823797 + ... + 23006283.

It is an arithmetic number, because the mean of its divisors is an integer number (279177139384).

Almost surely, 2^{26505493404480} is an apocalyptic number.

26505493404480 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 26505493404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46901759416512).

26505493404480 is an abundant number, since it is smaller than the sum of its proper divisors (67298025428544).

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

26505493404480 is a wasteful number, since it uses less digits than its factorization.

26505493404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182734 (or 1182721 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 26505493404480 in words is "twenty-six trillion, five hundred five billion, four hundred ninety-three million, four hundred four thousand, four hundred eighty".