23256384353280 has 2816 divisors, whose sum is σ = 98038421913600. Its totient is φ = 5176979619840.

The previous prime is 23256384353273. The next prime is 23256384353291. The reversal of 23256384353280 is 8235348365232.

23256384353280 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 6 + 3 + 8 + 4 + 353 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134429967274 + ... + 134429967446.

Almost surely, 2^{23256384353280} is an apocalyptic number.

23256384353280 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 23256384353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49019210956800).

23256384353280 is an abundant number, since it is smaller than the sum of its proper divisors (74782037560320).

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

23256384353280 is a wasteful number, since it uses less digits than its factorization.

23256384353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 23256384353280 in words is "twenty-three trillion, two hundred fifty-six billion, three hundred eighty-four million, three hundred fifty-three thousand, two hundred eighty".