23009781060864 has 1296 divisors, whose sum is σ = 77708207775744. Its totient is φ = 6521389056000.

The previous prime is 23009781060863. The next prime is 23009781060887. The reversal of 23009781060864 is 46806018790032.

23009781060864 is a `hidden beast` number, since 23 + 0 + 0 + 9 + 7 + 8 + 1 + 0 + 608 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23009781060864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23009781060863) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84906941049 + ... + 84906941319.

It is an arithmetic number, because the mean of its divisors is an integer number (59960036864).

Almost surely, 2^{23009781060864} is an apocalyptic number.

23009781060864 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 23009781060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38854103887872).

23009781060864 is an abundant number, since it is smaller than the sum of its proper divisors (54698426714880).

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

23009781060864 is a wasteful number, since it uses less digits than its factorization.

23009781060864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 23009781060864 in words is "twenty-three trillion, nine billion, seven hundred eighty-one million, sixty thousand, eight hundred sixty-four".