26868693600 has 576 divisors, whose sum is σ = 112447802880. Its totient is φ = 6064588800.

The previous prime is 26868693589. The next prime is 26868693617. The reversal of 26868693600 is 639686862.

26868693600 is a `hidden beast` number, since 26 + 8 + 6 + 8 + 6 + 9 + 3 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12548530 + ... + 12550670.

It is an arithmetic number, because the mean of its divisors is an integer number (195221880).

Almost surely, 2^26868693600 is an apocalyptic number.

26868693600 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 26868693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56223901440).

26868693600 is an abundant number, since it is smaller than the sum of its proper divisors (85579109280).

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

26868693600 is a wasteful number, since it uses less digits than its factorization.

26868693600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 26868693600 in words is "twenty-six billion, eight hundred sixty-eight million, six hundred ninety-three thousand, six hundred".