26141151617280 has 1440 divisors, whose sum is σ = 114072556012800. Its totient is φ = 5582882340864.

The previous prime is 26141151617279. The next prime is 26141151617333. The reversal of 26141151617280 is 8271615114162.

It is a happy number.

26141151617280 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 1 + 1 + 5 + 1 + 617 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1006616136 + ... + 1006642104.

Almost surely, 2^{26141151617280} is an apocalyptic number.

26141151617280 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 26141151617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57036278006400).

26141151617280 is an abundant number, since it is smaller than the sum of its proper divisors (87931404395520).

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

26141151617280 is a wasteful number, since it uses less digits than its factorization.

26141151617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26101 (or 26078 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 26141151617280 in words is "twenty-six trillion, one hundred forty-one billion, one hundred fifty-one million, six hundred seventeen thousand, two hundred eighty".