26496230400 has 198 divisors, whose sum is σ = 94869864882. Its totient is φ = 7065600000.

The previous prime is 26496230377. The next prime is 26496230407. The reversal of 26496230400 is 403269462.

26496230400 is a `hidden beast` number, since 2 + 649 + 6 + 2 + 3 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 608707584 + 25887522816 = 24672^2 + 160896^2 .

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 (26496230407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 172900 + ... + 287900.

Almost surely, 2^26496230400 is an apocalyptic number.

26496230400 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 26496230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47434932441).

26496230400 is an abundant number, since it is smaller than the sum of its proper divisors (68373634482).

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

26496230400 is a wasteful number, since it uses less digits than its factorization.

26496230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115037 (or 115011 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 26496230400 its reverse (403269462), we get a palindrome (26899499862).

The spelling of 26496230400 in words is "twenty-six billion, four hundred ninety-six million, two hundred thirty thousand, four hundred".