26445450240000 has 4200 divisors, whose sum is σ = 118605262716864. Its totient is φ = 5839257600000.

The previous prime is 26445450239959. The next prime is 26445450240019. The reversal of 26445450240000 is 4205454462.

26445450240000 is a `hidden beast` number, since 2 + 64 + 4 + 54 + 502 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 853079039985 + ... + 853079040015.

Almost surely, 2^{26445450240000} is an apocalyptic number.

26445450240000 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 26445450240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59302631358432).

26445450240000 is an abundant number, since it is smaller than the sum of its proper divisors (92159812476864).

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

26445450240000 is an equidigital number, since it uses as much as digits as its factorization.

26445450240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 26445450240000 its reverse (4205454462), we get a palindrome (26449655694462).

The spelling of 26445450240000 in words is "twenty-six trillion, four hundred forty-five billion, four hundred fifty million, two hundred forty thousand".