20286826560 has 1344 divisors, whose sum is σ = 97136492544. Its totient is φ = 3749068800.

The previous prime is 20286826559. The next prime is 20286826561. The reversal of 20286826560 is 6562868202.

20286826560 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 6 + 82 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (20286826559) and next prime (20286826561).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (20286826561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89369167 + ... + 89369393.

It is an arithmetic number, because the mean of its divisors is an integer number (72274176).

Almost surely, 2^20286826560 is an apocalyptic number.

20286826560 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 20286826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568246272).

20286826560 is an abundant number, since it is smaller than the sum of its proper divisors (76849665984).

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

20286826560 is a wasteful number, since it uses less digits than its factorization.

20286826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20286826560 in words is "twenty billion, two hundred eighty-six million, eight hundred twenty-six thousand, five hundred sixty".