26378002946304 has 243 divisors, whose sum is σ = 77254741257057. Its totient is φ = 8656010237952.

The previous prime is 26378002946287. The next prime is 26378002946311. The reversal of 26378002946304 is 40364920087362.

The square root of 26378002946304 is 5135952.

It is a perfect power (a square), and thus also a powerful number.

26378002946304 is a `hidden beast` number, since 263 + 78 + 0 + 0 + 2 + 9 + 4 + 6 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5287424313600 + 21090578632704 = 2299440^2 + 4592448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16517220834 + ... + 16517222430.

Almost surely, 2^{26378002946304} is an apocalyptic number.

26378002946304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26378002946304 is the 5135952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26378002946304

26378002946304 is an abundant number, since it is smaller than the sum of its proper divisors (50876738310753).

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

26378002946304 is an frugal number, since it uses more digits than its factorization.

26378002946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 26378002946304 in words is "twenty-six trillion, three hundred seventy-eight billion, two million, nine hundred forty-six thousand, three hundred four".