20785714560 has 896 divisors, whose sum is σ = 84283416000. Its totient is φ = 4861181952.

The previous prime is 20785714541. The next prime is 20785714577. The reversal of 20785714560 is 6541758702.

20785714560 is a `hidden beast` number, since 2 + 0 + 7 + 85 + 7 + 1 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 139501366 + ... + 139501514.

Almost surely, 2^20785714560 is an apocalyptic number.

20785714560 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 20785714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42141708000).

20785714560 is an abundant number, since it is smaller than the sum of its proper divisors (63497701440).

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

20785714560 is a wasteful number, since it uses less digits than its factorization.

20785714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 20785714560 in words is "twenty billion, seven hundred eighty-five million, seven hundred fourteen thousand, five hundred sixty".