20287488000 has 512 divisors, whose sum is σ = 73281761280. Its totient is φ = 4954521600.

The previous prime is 20287487977. The next prime is 20287488073. The reversal of 20287488000 is 88478202.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20287488000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159743937 + ... + 159744063.

It is an arithmetic number, because the mean of its divisors is an integer number (143128440).

Almost surely, 2^20287488000 is an apocalyptic number.

20287488000 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 20287488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640880640).

20287488000 is an abundant number, since it is smaller than the sum of its proper divisors (52994273280).

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

20287488000 is an equidigital number, since it uses as much as digits as its factorization.

20287488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 20287488000 in words is "twenty billion, two hundred eighty-seven million, four hundred eighty-eight thousand".