23538600933120 has 2160 divisors, whose sum is σ = 108926285707008. Its totient is φ = 4805762088960.

The previous prime is 23538600933119. The next prime is 23538600933143. The reversal of 23538600933120 is 2133900683532.

23538600933120 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 8 + 600 + 9 + 3 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2047363212 + ... + 2047374708.

Almost surely, 2^{23538600933120} is an apocalyptic number.

23538600933120 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 23538600933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54463142853504).

23538600933120 is an abundant number, since it is smaller than the sum of its proper divisors (85387684773888).

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

23538600933120 is a wasteful number, since it uses less digits than its factorization.

23538600933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11588 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 23538600933120 in words is "twenty-three trillion, five hundred thirty-eight billion, six hundred million, nine hundred thirty-three thousand, one hundred twenty".