23085128484560 has 320 divisors, whose sum is σ = 56118848163840. Its totient is φ = 8825934182400.

The previous prime is 23085128484499. The next prime is 23085128484571. The reversal of 23085128484560 is 6548482158032.

It is a junction number, because it is equal to n+sod(n) for n = 23085128484496 and 23085128484505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8604220979 + ... + 8604223661.

It is an arithmetic number, because the mean of its divisors is an integer number (175371400512).

Almost surely, 2^{23085128484560} is an apocalyptic number.

23085128484560 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 23085128484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28059424081920).

23085128484560 is an abundant number, since it is smaller than the sum of its proper divisors (33033719679280).

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

23085128484560 is a wasteful number, since it uses less digits than its factorization.

23085128484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 56.

The spelling of 23085128484560 in words is "twenty-three trillion, eighty-five billion, one hundred twenty-eight million, four hundred eighty-four thousand, five hundred sixty".