26168414400 has 504 divisors, whose sum is σ = 97684466048. Its totient is φ = 6642432000.

The previous prime is 26168414359. The next prime is 26168414401. The reversal of 26168414400 is 441486162.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (26168414401) 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 71 ways as a sum of consecutive naturals, for example, 428990370 + ... + 428990430.

Almost surely, 2^26168414400 is an apocalyptic number.

26168414400 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 26168414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48842233024).

26168414400 is an abundant number, since it is smaller than the sum of its proper divisors (71516051648).

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

26168414400 is an equidigital number, since it uses as much as digits as its factorization.

26168414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 26168414400 in words is "twenty-six billion, one hundred sixty-eight million, four hundred fourteen thousand, four hundred".