20207686348800 has 468 divisors, whose sum is σ = 73082644355344. Its totient is φ = 5336373657600.

The previous prime is 20207686348799. The next prime is 20207686348823. The reversal of 20207686348800 is 884368670202.

20207686348800 is a `hidden beast` number, since 20 + 20 + 7 + 68 + 63 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×20207686348800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94818360 + ... + 95031240.

Almost surely, 2^{20207686348800} is an apocalyptic number.

20207686348800 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 20207686348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36541322177672).

20207686348800 is an abundant number, since it is smaller than the sum of its proper divisors (52874958006544).

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

20207686348800 is a wasteful number, since it uses less digits than its factorization.

20207686348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213024 (or 212994 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20207686348800 in words is "twenty trillion, two hundred seven billion, six hundred eighty-six million, three hundred forty-eight thousand, eight hundred".