20677579560 has 192 divisors, whose sum is σ = 76027049280. Its totient is φ = 5012720640.

The previous prime is 20677579541. The next prime is 20677579561. The reversal of 20677579560 is 6597577602.

20677579560 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 7 + 5 + 79 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20677579497 and 20677579506.

It is not an unprimeable number, because it can be changed into a prime (20677579561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10224 + ... + 203616.

It is an arithmetic number, because the mean of its divisors is an integer number (395974215).

Almost surely, 2^20677579560 is an apocalyptic number.

20677579560 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 20677579560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38013524640).

20677579560 is an abundant number, since it is smaller than the sum of its proper divisors (55349469720).

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

20677579560 is a wasteful number, since it uses less digits than its factorization.

20677579560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193430 (or 193414 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 20677579560 in words is "twenty billion, six hundred seventy-seven million, five hundred seventy-nine thousand, five hundred sixty".