20746961071200 has 3456 divisors, whose sum is σ = 97902348848640. Its totient is φ = 4199189299200.

The previous prime is 20746961071171. The next prime is 20746961071211. The reversal of 20746961071200 is 217016964702.

20746961071200 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 6 + 9 + 610 + 7 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42254502955 + ... + 42254503445.

It is an arithmetic number, because the mean of its divisors is an integer number (28328225940).

Almost surely, 2^{20746961071200} is an apocalyptic number.

20746961071200 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 20746961071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48951174424320).

20746961071200 is an abundant number, since it is smaller than the sum of its proper divisors (77155387777440).

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

20746961071200 is a wasteful number, since it uses less digits than its factorization.

20746961071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20746961071200 in words is "twenty trillion, seven hundred forty-six billion, nine hundred sixty-one million, seventy-one thousand, two hundred".