20746857633600 has 336 divisors, whose sum is σ = 77797501097600. Its totient is φ = 4741732638720.

The previous prime is 20746857633577. The next prime is 20746857633659. The reversal of 20746857633600 is 633675864702.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584252646 + ... + 584288154.

Almost surely, 2^{20746857633600} is an apocalyptic number.

20746857633600 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 20746857633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38898750548800).

20746857633600 is an abundant number, since it is smaller than the sum of its proper divisors (57050643464000).

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

20746857633600 is a wasteful number, since it uses less digits than its factorization.

20746857633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52930 (or 52915 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 20746857633600 in words is "twenty trillion, seven hundred forty-six billion, eight hundred fifty-seven million, six hundred thirty-three thousand, six hundred".