26568146880 has 448 divisors, whose sum is σ = 107635852800. Its totient is φ = 6101360640.

The previous prime is 26568146879. The next prime is 26568146893. The reversal of 26568146880 is 8864186562.

26568146880 is a `hidden beast` number, since 2 + 6 + 568 + 14 + 68 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1798404 + ... + 1813116.

It is an arithmetic number, because the mean of its divisors is an integer number (240258600).

Almost surely, 2^26568146880 is an apocalyptic number.

26568146880 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 26568146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53817926400).

26568146880 is an abundant number, since it is smaller than the sum of its proper divisors (81067705920).

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

26568146880 is a wasteful number, since it uses less digits than its factorization.

26568146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14769 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 26568146880 in words is "twenty-six billion, five hundred sixty-eight million, one hundred forty-six thousand, eight hundred eighty".