23309642880 has 192 divisors, whose sum is σ = 80579561400. Its totient is φ = 6209077248.

The previous prime is 23309642879. The next prime is 23309642911. The reversal of 23309642880 is 8824690332.

23309642880 is a `hidden beast` number, since 2 + 3 + 309 + 64 + 288 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22334704704 + 974938176 = 149448^2 + 31224^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 7353936 + ... + 7357104.

Almost surely, 2^23309642880 is an apocalyptic number.

23309642880 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 23309642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40289780700).

23309642880 is an abundant number, since it is smaller than the sum of its proper divisors (57269918520).

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

23309642880 is a wasteful number, since it uses less digits than its factorization.

23309642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 23309642880 in words is "twenty-three billion, three hundred nine million, six hundred forty-two thousand, eight hundred eighty".