26274649156560 has 960 divisors, whose sum is σ = 105350754263040. Its totient is φ = 5743639756800.

The previous prime is 26274649156559. The next prime is 26274649156643. The reversal of 26274649156560 is 6565194647262.

It is a happy number.

26274649156560 is a `hidden beast` number, since 2 + 6 + 2 + 7 + 4 + 6 + 4 + 9 + 1 + 565 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2871227985 + ... + 2871237135.

It is an arithmetic number, because the mean of its divisors is an integer number (109740369024).

Almost surely, 2^{26274649156560} is an apocalyptic number.

26274649156560 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 26274649156560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52675377131520).

26274649156560 is an abundant number, since it is smaller than the sum of its proper divisors (79076105106480).

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

26274649156560 is a wasteful number, since it uses less digits than its factorization.

26274649156560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 26274649156560 in words is "twenty-six trillion, two hundred seventy-four billion, six hundred forty-nine million, one hundred fifty-six thousand, five hundred sixty".