26666414400 has 168 divisors, whose sum is σ = 87578533504. Its totient is φ = 7103692800.

The previous prime is 26666414389. The next prime is 26666414413. The reversal of 26666414400 is 441466662.

It is a super-2 number, since 2×26666414400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 5906544 + ... + 5911056.

Almost surely, 2^26666414400 is an apocalyptic number.

26666414400 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 26666414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43789266752).

26666414400 is an abundant number, since it is smaller than the sum of its proper divisors (60912119104).

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

26666414400 is a wasteful number, since it uses less digits than its factorization.

26666414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5769 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 26666414400 in words is "twenty-six billion, six hundred sixty-six million, four hundred fourteen thousand, four hundred".