23905280000 has 560 divisors, whose sum is σ = 73699908480. Its totient is φ = 7569408000.

The previous prime is 23905279987. The next prime is 23905280011. The reversal of 23905280000 is 8250932.

23905280000 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 824319986 + ... + 824320014.

Almost surely, 2^23905280000 is an apocalyptic number.

23905280000 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 23905280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36849954240).

23905280000 is an abundant number, since it is smaller than the sum of its proper divisors (49794628480).

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

23905280000 is an frugal number, since it uses more digits than its factorization.

23905280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 23905280000 in words is "twenty-three billion, nine hundred five million, two hundred eighty thousand".