20790286560 has 288 divisors, whose sum is σ = 72942472512. Its totient is φ = 5389148160.

The previous prime is 20790286553. The next prime is 20790286589. The reversal of 20790286560 is 6568209702.

20790286560 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 0 + 2 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23438437 + ... + 23439323.

It is an arithmetic number, because the mean of its divisors is an integer number (253272474).

Almost surely, 2^20790286560 is an apocalyptic number.

20790286560 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 20790286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36471236256).

20790286560 is an abundant number, since it is smaller than the sum of its proper divisors (52152185952).

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

20790286560 is a wasteful number, since it uses less digits than its factorization.

20790286560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20790286560 in words is "twenty billion, seven hundred ninety million, two hundred eighty-six thousand, five hundred sixty".