23530409280 has 672 divisors, whose sum is σ = 96923473920. Its totient is φ = 5322516480.

The previous prime is 23530409239. The next prime is 23530409293. The reversal of 23530409280 is 8290403532.

23530409280 is a `hidden beast` number, since 2 + 3 + 530 + 40 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75660325 + ... + 75660635.

It is an arithmetic number, because the mean of its divisors is an integer number (144231360).

Almost surely, 2^23530409280 is an apocalyptic number.

23530409280 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 23530409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48461736960).

23530409280 is an abundant number, since it is smaller than the sum of its proper divisors (73393064640).

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

23530409280 is a wasteful number, since it uses less digits than its factorization.

23530409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23530409280 in words is "twenty-three billion, five hundred thirty million, four hundred nine thousand, two hundred eighty".