26445016400 has 240 divisors, whose sum is σ = 75185687808. Its totient is φ = 8828928000.

The previous prime is 26445016391. The next prime is 26445016447. The reversal of 26445016400 is 461054462.

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 47 ways as a sum of consecutive naturals, for example, 3062489 + ... + 3071111.

Almost surely, 2^26445016400 is an apocalyptic number.

26445016400 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 26445016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592843904).

26445016400 is an abundant number, since it is smaller than the sum of its proper divisors (48740671408).

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

26445016400 is a wasteful number, since it uses less digits than its factorization.

26445016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 26445016400 in words is "twenty-six billion, four hundred forty-five million, sixteen thousand, four hundred".