20288689344 has 336 divisors, whose sum is σ = 75659650560. Its totient is φ = 5040414720.

The previous prime is 20288689313. The next prime is 20288689357. The reversal of 20288689344 is 44398688202.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 1010152 + ... + 1030040.

Almost surely, 2^20288689344 is an apocalyptic number.

20288689344 is a gapful number since it is divisible by the number (24) 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 20288689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37829825280).

20288689344 is an abundant number, since it is smaller than the sum of its proper divisors (55370961216).

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

20288689344 is a wasteful number, since it uses less digits than its factorization.

20288689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 19935 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

It can be divided in two parts, 202886 and 89344, that added together give a triangular number (292230 = T₇₆₄).

The spelling of 20288689344 in words is "twenty billion, two hundred eighty-eight million, six hundred eighty-nine thousand, three hundred forty-four".