26233087400 has 384 divisors, whose sum is σ = 70739222400. Its totient is φ = 8980070400.

The previous prime is 26233087381. The next prime is 26233087403. The reversal of 26233087400 is 478033262.

It is not an unprimeable number, because it can be changed into a prime (26233087403) 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, 270444152 + ... + 270444248.

It is an arithmetic number, because the mean of its divisors is an integer number (184216725).

Almost surely, 2^26233087400 is an apocalyptic number.

26233087400 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 26233087400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35369611200).

26233087400 is an abundant number, since it is smaller than the sum of its proper divisors (44506135000).

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

26233087400 is a wasteful number, since it uses less digits than its factorization.

26233087400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 26233087400 in words is "twenty-six billion, two hundred thirty-three million, eighty-seven thousand, four hundred".