26315450400 has 144 divisors (see below), whose sum is σ = 87479650944. Its totient is φ = 6868116480.

The previous prime is 26315450383. The next prime is 26315450401. The reversal of 26315450400 is 405451362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26315450401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3847 + ... + 229446.

It is an arithmetic number, because the mean of its divisors is an integer number (607497576).

Almost surely, 2^26315450400 is an apocalyptic number.

26315450400 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 26315450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43739825472).

26315450400 is an abundant number, since it is smaller than the sum of its proper divisors (61164200544).

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

26315450400 is a wasteful number, since it uses less digits than its factorization.

26315450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233363 (or 233350 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 26315450400 in words is "twenty-six billion, three hundred fifteen million, four hundred fifty thousand, four hundred".