20560892352000 has 7680 divisors, whose sum is σ = 105630199234560. Its totient is φ = 3468165120000.

The previous prime is 20560892351999. The next prime is 20560892352001. The reversal of 20560892352000 is 25329806502.

It is an interprime number because it is at equal distance from previous prime (20560892351999) and next prime (20560892352001).

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20560892352001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 663254591985 + ... + 663254592015.

It is an arithmetic number, because the mean of its divisors is an integer number (13753932192).

Almost surely, 2^{20560892352000} is an apocalyptic number.

20560892352000 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 20560892352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52815099617280).

20560892352000 is an abundant number, since it is smaller than the sum of its proper divisors (85069306882560).

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

20560892352000 is a wasteful number, since it uses less digits than its factorization.

20560892352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 20560892352000 in words is "twenty trillion, five hundred sixty billion, eight hundred ninety-two million, three hundred fifty-two thousand".