26943129998400 has 672 divisors, whose sum is σ = 116008344990720. Its totient is φ = 5303909376000.

The previous prime is 26943129998347. The next prime is 26943129998401. The reversal of 26943129998400 is 489992134962.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×26943129998400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (26943129998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5104030 + ... + 8940770.

It is an arithmetic number, because the mean of its divisors is an integer number (172631465760).

Almost surely, 2^{26943129998400} is an apocalyptic number.

26943129998400 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 26943129998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58004172495360).

26943129998400 is an abundant number, since it is smaller than the sum of its proper divisors (89065214992320).

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

26943129998400 is a wasteful number, since it uses less digits than its factorization.

26943129998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3836803 (or 3836788 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 26943129998400 in words is "twenty-six trillion, nine hundred forty-three billion, one hundred twenty-nine million, nine hundred ninety-eight thousand, four hundred".