26763421256320 has 256 divisors, whose sum is σ = 73448624793600. Its totient is φ = 9135014400000.

The previous prime is 26763421256317. The next prime is 26763421256353. The reversal of 26763421256320 is 2365212436762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2989987845 + ... + 2989996795.

It is an arithmetic number, because the mean of its divisors is an integer number (286908690600).

Almost surely, 2^{26763421256320} is an apocalyptic number.

26763421256320 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 26763421256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36724312396800).

26763421256320 is an abundant number, since it is smaller than the sum of its proper divisors (46685203537280).

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

26763421256320 is a wasteful number, since it uses less digits than its factorization.

26763421256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 26763421256320 in words is "twenty-six trillion, seven hundred sixty-three billion, four hundred twenty-one million, two hundred fifty-six thousand, three hundred twenty".