20987216194560 has 1408 divisors, whose sum is σ = 84915822182400. Its totient is φ = 4297587425280.

The previous prime is 20987216194541. The next prime is 20987216194573. The reversal of 20987216194560 is 6549161278902.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 20987216194494 and 20987216194503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33905033931 + ... + 33905034549.

It is an arithmetic number, because the mean of its divisors is an integer number (60309532800).

Almost surely, 2^{20987216194560} is an apocalyptic number.

20987216194560 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 20987216194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42457911091200).

20987216194560 is an abundant number, since it is smaller than the sum of its proper divisors (63928605987840).

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

20987216194560 is a wasteful number, since it uses less digits than its factorization.

20987216194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 20987216194560 in words is "twenty trillion, nine hundred eighty-seven billion, two hundred sixteen million, one hundred ninety-four thousand, five hundred sixty".