26474297506560 has 288 divisors, whose sum is σ = 94159110689280. Its totient is φ = 7043872223232.

The previous prime is 26474297506463. The next prime is 26474297506633. The reversal of 26474297506560 is 6560579247462.

26474297506560 is a `hidden beast` number, since 2 + 6 + 4 + 74 + 2 + 9 + 7 + 506 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14445477 + ... + 16174683.

It is an arithmetic number, because the mean of its divisors is an integer number (326941356560).

Almost surely, 2^{26474297506560} is an apocalyptic number.

26474297506560 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 26474297506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47079555344640).

26474297506560 is an abundant number, since it is smaller than the sum of its proper divisors (67684813182720).

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

26474297506560 is a wasteful number, since it uses less digits than its factorization.

26474297506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729680 (or 1729660 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 26474297506560 in words is "twenty-six trillion, four hundred seventy-four billion, two hundred ninety-seven million, five hundred six thousand, five hundred sixty".