26781991200 has 1152 divisors, whose sum is σ = 109432995840. Its totient is φ = 6295449600.

The previous prime is 26781991193. The next prime is 26781991261. The reversal of 26781991200 is 219918762.

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 191 ways as a sum of consecutive naturals, for example, 569829577 + ... + 569829623.

It is an arithmetic number, because the mean of its divisors is an integer number (94993920).

Almost surely, 2^26781991200 is an apocalyptic number.

26781991200 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 26781991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54716497920).

26781991200 is an abundant number, since it is smaller than the sum of its proper divisors (82651004640).

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

26781991200 is a wasteful number, since it uses less digits than its factorization.

26781991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 26781991200 in words is "twenty-six billion, seven hundred eighty-one million, nine hundred ninety-one thousand, two hundred".