20675500560 has 960 divisors, whose sum is σ = 88880025600. Its totient is φ = 4367001600.

The previous prime is 20675500529. The next prime is 20675500577. The reversal of 20675500560 is 6500557602.

20675500560 is a `hidden beast` number, since 20 + 6 + 75 + 5 + 0 + 0 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76293225 + ... + 76293495.

It is an arithmetic number, because the mean of its divisors is an integer number (92583360).

Almost surely, 2^20675500560 is an apocalyptic number.

20675500560 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 20675500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44440012800).

20675500560 is an abundant number, since it is smaller than the sum of its proper divisors (68204525040).

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

20675500560 is a wasteful number, since it uses less digits than its factorization.

20675500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 20675500560 in words is "twenty billion, six hundred seventy-five million, five hundred thousand, five hundred sixty".