23280009984 has 1152 divisors, whose sum is σ = 94941020160. Its totient is φ = 5441126400.

The previous prime is 23280009971. The next prime is 23280010003. The reversal of 23280009984 is 48990008232.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 280482007 + ... + 280482089.

It is an arithmetic number, because the mean of its divisors is an integer number (82414080).

Almost surely, 2^23280009984 is an apocalyptic number.

23280009984 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 23280009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47470510080).

23280009984 is an abundant number, since it is smaller than the sum of its proper divisors (71661010176).

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

23280009984 is a wasteful number, since it uses less digits than its factorization.

23280009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 23280009984 in words is "twenty-three billion, two hundred eighty million, nine thousand, nine hundred eighty-four".