26640031204800 has 672 divisors, whose sum is σ = 104631222548160. Its totient is φ = 6554522419200.

The previous prime is 26640031204781. The next prime is 26640031204811. The reversal of 26640031204800 is 840213004662.

26640031204800 is a `hidden beast` number, since 2 + 6 + 640 + 0 + 3 + 1 + 2 + 0 + 4 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1370855884 + ... + 1370875316.

It is an arithmetic number, because the mean of its divisors is an integer number (155701224030).

Almost surely, 2^{26640031204800} is an apocalyptic number.

26640031204800 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 26640031204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52315611274080).

26640031204800 is an abundant number, since it is smaller than the sum of its proper divisors (77991191343360).

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

26640031204800 is a wasteful number, since it uses less digits than its factorization.

26640031204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21918 (or 21897 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26640031204800 in words is "twenty-six trillion, six hundred forty billion, thirty-one million, two hundred four thousand, eight hundred".