26945107200 has 972 divisors, whose sum is σ = 112271376672. Its totient is φ = 6102835200.

The previous prime is 26945107199. The next prime is 26945107201. The reversal of 26945107200 is 270154962.

It is an interprime number because it is at equal distance from previous prime (26945107199) and next prime (26945107201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26945107201) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 626630379 + ... + 626630421.

Almost surely, 2^26945107200 is an apocalyptic number.

26945107200 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 26945107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56135688336).

26945107200 is an abundant number, since it is smaller than the sum of its proper divisors (85326269472).

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

26945107200 is a wasteful number, since it uses less digits than its factorization.

26945107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 26945107200 in words is "twenty-six billion, nine hundred forty-five million, one hundred seven thousand, two hundred".