23288575680 has 448 divisors, whose sum is σ = 84218434560. Its totient is φ = 6132464640.

The previous prime is 23288575649. The next prime is 23288575693. The reversal of 23288575680 is 8657588232.

23288575680 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 8 + 575 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74882725 + ... + 74883035.

Almost surely, 2^23288575680 is an apocalyptic number.

23288575680 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 23288575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42109217280).

23288575680 is an abundant number, since it is smaller than the sum of its proper divisors (60929858880).

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

23288575680 is an equidigital number, since it uses as much as digits as its factorization.

23288575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 23288575680 in words is "twenty-three billion, two hundred eighty-eight million, five hundred seventy-five thousand, six hundred eighty".