20740431801600 has 2592 divisors, whose sum is σ = 91335404160000. Its totient is φ = 4653247979520.

The previous prime is 20740431801589. The next prime is 20740431801613. The reversal of 20740431801600 is 610813404702.

20740431801600 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 0 + 43 + 1 + 8 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×20740431801600³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31472582071 + ... + 31472582729.

Almost surely, 2^{20740431801600} is an apocalyptic number.

20740431801600 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 20740431801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45667702080000).

20740431801600 is an abundant number, since it is smaller than the sum of its proper divisors (70594972358400).

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

20740431801600 is an frugal number, since it uses more digits than its factorization.

20740431801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20740431801600 in words is "twenty trillion, seven hundred forty billion, four hundred thirty-one million, eight hundred one thousand, six hundred".