26945568000 has 576 divisors, whose sum is σ = 107138304000. Its totient is φ = 6629990400.

The previous prime is 26945567977. The next prime is 26945568043. The reversal of 26945568000 is 86554962.

26945568000 is a `hidden beast` number, since 2 + 6 + 94 + 556 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11230801 + ... + 11233199.

It is an arithmetic number, because the mean of its divisors is an integer number (186004000).

Almost surely, 2^26945568000 is an apocalyptic number.

26945568000 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 26945568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53569152000).

26945568000 is an abundant number, since it is smaller than the sum of its proper divisors (80192736000).

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

26945568000 is a wasteful number, since it uses less digits than its factorization.

26945568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 26945568000 in words is "twenty-six billion, nine hundred forty-five million, five hundred sixty-eight thousand".