20161548288 has 624 divisors, whose sum is σ = 71965470720. Its totient is φ = 5313724416.

The previous prime is 20161548271. The next prime is 20161548313. The reversal of 20161548288 is 88284516102.

20161548288 is a `hidden beast` number, since 2 + 0 + 1 + 615 + 4 + 8 + 28 + 8 = 666.

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, 255209433 + ... + 255209511.

It is an arithmetic number, because the mean of its divisors is an integer number (115329280).

Almost surely, 2^20161548288 is an apocalyptic number.

20161548288 is a gapful number since it is divisible by the number (28) 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 20161548288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35982735360).

20161548288 is an abundant number, since it is smaller than the sum of its proper divisors (51803922432).

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

20161548288 is a wasteful number, since it uses less digits than its factorization.

20161548288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 20161548288 in words is "twenty billion, one hundred sixty-one million, five hundred forty-eight thousand, two hundred eighty-eight".