26420947200 has 216 divisors, whose sum is σ = 96883556000. Its totient is φ = 7045539840.

The previous prime is 26420947169. The next prime is 26420947229. The reversal of 26420947200 is 274902462.

26420947200 is a `hidden beast` number, since 2 + 642 + 0 + 9 + 4 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96351 + ... + 249249.

Almost surely, 2^26420947200 is an apocalyptic number.

26420947200 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 26420947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48441778000).

26420947200 is an abundant number, since it is smaller than the sum of its proper divisors (70462608800).

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

26420947200 is a wasteful number, since it uses less digits than its factorization.

26420947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152934 (or 152909 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26420947200 in words is "twenty-six billion, four hundred twenty million, nine hundred forty-seven thousand, two hundred".