26480254874400 has 216 divisors, whose sum is σ = 95547534722640. Its totient is φ = 6897182584320.

The previous prime is 26480254874387. The next prime is 26480254874419. The reversal of 26480254874400 is 447845208462.

It is a happy number.

26480254874400 is a `hidden beast` number, since 2 + 6 + 480 + 2 + 54 + 8 + 74 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42455670 + ... + 43074869.

It is an arithmetic number, because the mean of its divisors is an integer number (442349697790).

Almost surely, 2^{26480254874400} is an apocalyptic number.

26480254874400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26480254874400 is an abundant number, since it is smaller than the sum of its proper divisors (69067279848240).

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

26480254874400 is a wasteful number, since it uses less digits than its factorization.

26480254874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85530608 (or 85530592 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 26480254874400 in words is "twenty-six trillion, four hundred eighty billion, two hundred fifty-four million, eight hundred seventy-four thousand, four hundred".