26838864000 has 1024 divisors, whose sum is σ = 109601856000. Its totient is φ = 6494515200.

The previous prime is 26838863963. The next prime is 26838864037. The reversal of 26838864000 is 46883862.

It is a happy number.

26838864000 is a `hidden beast` number, since 268 + 388 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26838863963) and next prime (26838864037).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454895971 + ... + 454896029.

Almost surely, 2^26838864000 is an apocalyptic number.

26838864000 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 26838864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800928000).

26838864000 is an abundant number, since it is smaller than the sum of its proper divisors (82762992000).

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

26838864000 is an frugal number, since it uses more digits than its factorization.

26838864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 26838864000 in words is "twenty-six billion, eight hundred thirty-eight million, eight hundred sixty-four thousand".