26227463400 has 288 divisors, whose sum is σ = 90780183000. Its totient is φ = 6782730240.

The previous prime is 26227463369. The next prime is 26227463441. The reversal of 26227463400 is 436472262.

26227463400 is a `hidden beast` number, since 26 + 227 + 4 + 6 + 3 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4912047396 + 21315416004 = 70086^2 + 145998^2 .

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8489056 + ... + 8492144.

Almost surely, 2^26227463400 is an apocalyptic number.

26227463400 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 26227463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45390091500).

26227463400 is an abundant number, since it is smaller than the sum of its proper divisors (64552719600).

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

26227463400 is a wasteful number, since it uses less digits than its factorization.

26227463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 26227463400 in words is "twenty-six billion, two hundred twenty-seven million, four hundred sixty-three thousand, four hundred".