23609487000960 has 1536 divisors, whose sum is σ = 97708183372800. Its totient is φ = 5336335613952.

The previous prime is 23609487000947. The next prime is 23609487001013. The reversal of 23609487000960 is 6900078490632.

It is a happy number.

23609487000960 is a `hidden beast` number, since 23 + 609 + 4 + 8 + 7 + 0 + 0 + 0 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23609487000897 and 23609487000906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60692768446 + ... + 60692768834.

It is an arithmetic number, because the mean of its divisors is an integer number (63612098550).

Almost surely, 2^{23609487000960} is an apocalyptic number.

23609487000960 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 23609487000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854091686400).

23609487000960 is an abundant number, since it is smaller than the sum of its proper divisors (74098696371840).

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

23609487000960 is a wasteful number, since it uses less digits than its factorization.

23609487000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 23609487000960 in words is "twenty-three trillion, six hundred nine billion, four hundred eighty-seven million, nine hundred sixty", and thus it is an aban number.