26468352000 has 408 divisors, whose sum is σ = 95692315680. Its totient is φ = 7038566400.

The previous prime is 26468351989. The next prime is 26468352019. The reversal of 26468352000 is 25386462.

26468352000 is a `hidden beast` number, since 2 + 646 + 8 + 3 + 5 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73727821 + ... + 73728179.

Almost surely, 2^26468352000 is an apocalyptic number.

26468352000 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 26468352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47846157840).

26468352000 is an abundant number, since it is smaller than the sum of its proper divisors (69223963680).

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

26468352000 is an frugal number, since it uses more digits than its factorization.

26468352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26468352000 in words is "twenty-six billion, four hundred sixty-eight million, three hundred fifty-two thousand".