20606577556752 has 640 divisors, whose sum is σ = 68859435571200. Its totient is φ = 5841584179200.

The previous prime is 20606577556751. The next prime is 20606577556771. The reversal of 20606577556752 is 25765577560602.

20606577556752 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 6 + 5 + 7 + 7 + 556 + 75 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20606577556752.

It is not an unprimeable number, because it can be changed into a prime (20606577556751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 563203003 + ... + 563239589.

It is an arithmetic number, because the mean of its divisors is an integer number (107592868080).

Almost surely, 2^{20606577556752} is an apocalyptic number.

20606577556752 is a gapful number since it is divisible by the number (22) 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 20606577556752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34429717785600).

20606577556752 is an abundant number, since it is smaller than the sum of its proper divisors (48252858014448).

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

20606577556752 is a wasteful number, since it uses less digits than its factorization.

20606577556752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36772 (or 36760 counting only the distinct ones).

The product of its (nonzero) digits is 185220000, while the sum is 63.

The spelling of 20606577556752 in words is "twenty trillion, six hundred six billion, five hundred seventy-seven million, five hundred fifty-six thousand, seven hundred fifty-two".