20349951732000 has 480 divisors, whose sum is σ = 81481221005184. Its totient is φ = 4933320768000.

The previous prime is 20349951731981. The next prime is 20349951732007. The reversal of 20349951732000 is 23715994302.

20349951732000 is a `hidden beast` number, since 2 + 0 + 349 + 95 + 17 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (20349951732007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 709069 + ... + 6418931.

Almost surely, 2^{20349951732000} is an apocalyptic number.

20349951732000 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 20349951732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40740610502592).

20349951732000 is an abundant number, since it is smaller than the sum of its proper divisors (61131269273184).

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

20349951732000 is a wasteful number, since it uses less digits than its factorization.

20349951732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709911 (or 5709884 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20349951732000 in words is "twenty trillion, three hundred forty-nine billion, nine hundred fifty-one million, seven hundred thirty-two thousand".