20971266346800 has 3840 divisors, whose sum is σ = 99233328660480. Its totient is φ = 4166287488000.

The previous prime is 20971266346759. The next prime is 20971266346813. The reversal of 20971266346800 is 864366217902.

20971266346800 is a `hidden beast` number, since 20 + 97 + 12 + 6 + 63 + 468 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 252665859559 + ... + 252665859641.

It is an arithmetic number, because the mean of its divisors is an integer number (25842012672).

Almost surely, 2^{20971266346800} is an apocalyptic number.

20971266346800 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 20971266346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49616664330240).

20971266346800 is an abundant number, since it is smaller than the sum of its proper divisors (78262062313680).

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

20971266346800 is an equidigital number, since it uses as much as digits as its factorization.

20971266346800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20971266346800 in words is "twenty trillion, nine hundred seventy-one billion, two hundred sixty-six million, three hundred forty-six thousand, eight hundred".