20712261427200 has 2520 divisors, whose sum is σ = 90624443695632. Its totient is φ = 4661957099520.

The previous prime is 20712261427157. The next prime is 20712261427217. The reversal of 20712261427200 is 272416221702.

20712261427200 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 2 + 26 + 1 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 179 ways as a sum of consecutive naturals, for example, 67466649447 + ... + 67466649753.

Almost surely, 2^{20712261427200} is an apocalyptic number.

20712261427200 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 20712261427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45312221847816).

20712261427200 is an abundant number, since it is smaller than the sum of its proper divisors (69912182268432).

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

20712261427200 is an equidigital number, since it uses as much as digits as its factorization.

20712261427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 20712261427200 its reverse (272416221702), we get a palindrome (20984677648902).

The spelling of 20712261427200 in words is "twenty trillion, seven hundred twelve billion, two hundred sixty-one million, four hundred twenty-seven thousand, two hundred".