26335472042880 has 4320 divisors, whose sum is σ = 130633227499320. Its totient is φ = 5051359272960.

The previous prime is 26335472042843. The next prime is 26335472042911. The reversal of 26335472042880 is 8824027453362.

26335472042880 is a `hidden beast` number, since 2 + 6 + 3 + 354 + 7 + 2 + 0 + 4 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2025805541754 + ... + 2025805541766.

Almost surely, 2^{26335472042880} is an apocalyptic number.

26335472042880 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 26335472042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65316613749660).

26335472042880 is an abundant number, since it is smaller than the sum of its proper divisors (104297755456440).

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

26335472042880 is an frugal number, since it uses more digits than its factorization.

26335472042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 26335472042880 in words is "twenty-six trillion, three hundred thirty-five billion, four hundred seventy-two million, forty-two thousand, eight hundred eighty".