20608035655680 has 2080 divisors, whose sum is σ = 83758362450048. Its totient is φ = 4803054796800.

The previous prime is 20608035655663. The next prime is 20608035655729. The reversal of 20608035655680 is 8655653080602.

20608035655680 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 8 + 0 + 3 + 5 + 6 + 556 + 80 = 666.

It is a super-2 number, since 2×20608035655680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 88446504844 + ... + 88446505076.

Almost surely, 2^{20608035655680} is an apocalyptic number.

20608035655680 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 20608035655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41879181225024).

20608035655680 is an abundant number, since it is smaller than the sum of its proper divisors (63150326794368).

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

20608035655680 is a wasteful number, since it uses less digits than its factorization.

20608035655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 20608035655680 in words is "twenty trillion, six hundred eight billion, thirty-five million, six hundred fifty-five thousand, six hundred eighty".