20287852738560 has 1152 divisors, whose sum is σ = 79891176718080. Its totient is φ = 4897013760000.

The previous prime is 20287852738537. The next prime is 20287852738567. The reversal of 20287852738560 is 6583725878202.

It is a happy number.

20287852738560 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 78 + 527 + 38 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20287852738567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6870250044 + ... + 6870252996.

It is an arithmetic number, because the mean of its divisors is an integer number (69349979790).

Almost surely, 2^{20287852738560} is an apocalyptic number.

20287852738560 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 20287852738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39945588359040).

20287852738560 is an abundant number, since it is smaller than the sum of its proper divisors (59603323979520).

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

20287852738560 is a wasteful number, since it uses less digits than its factorization.

20287852738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 20287852738560 in words is "twenty trillion, two hundred eighty-seven billion, eight hundred fifty-two million, seven hundred thirty-eight thousand, five hundred sixty".