26923679976960 has 480 divisors, whose sum is σ = 103557638717280. Its totient is φ = 6627364503552.

The previous prime is 26923679976899. The next prime is 26923679976967. The reversal of 26923679976960 is 6967997632962.

26923679976960 is a `hidden beast` number, since 26 + 92 + 367 + 9 + 97 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×26923679976960² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26923679976960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26923679976967) by changing a digit.

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, 10528852 + ... + 12833708.

It is an arithmetic number, because the mean of its divisors is an integer number (215745080661).

Almost surely, 2^{26923679976960} is an apocalyptic number.

26923679976960 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 26923679976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51778819358640).

26923679976960 is an abundant number, since it is smaller than the sum of its proper divisors (76633958740320).

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

26923679976960 is a wasteful number, since it uses less digits than its factorization.

26923679976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304915 (or 2304880 counting only the distinct ones).

The product of its (nonzero) digits is 4999796928, while the sum is 81.

The spelling of 26923679976960 in words is "twenty-six trillion, nine hundred twenty-three billion, six hundred seventy-nine million, nine hundred seventy-six thousand, nine hundred sixty".