26075294665440 has 384 divisors, whose sum is σ = 88335878400000. Its totient is φ = 6444647940096.

The previous prime is 26075294665417. The next prime is 26075294665447. The reversal of 26075294665440 is 4456649257062.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26075294665447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178320296 + ... + 1178342424.

It is an arithmetic number, because the mean of its divisors is an integer number (230041350000).

Almost surely, 2^{26075294665440} is an apocalyptic number.

26075294665440 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 26075294665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167939200000).

26075294665440 is an abundant number, since it is smaller than the sum of its proper divisors (62260583734560).

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

26075294665440 is a wasteful number, since it uses less digits than its factorization.

26075294665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24962 (or 24954 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 26075294665440 in words is "twenty-six trillion, seventy-five billion, two hundred ninety-four million, six hundred sixty-five thousand, four hundred forty".