23211590613120 has 1536 divisors, whose sum is σ = 103913252352000. Its totient is φ = 4739247636480.

The previous prime is 23211590613067. The next prime is 23211590613121. The reversal of 23211590613120 is 2131609511232.

It is a happy number.

23211590613120 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 590 + 61 + 3 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×23211590613120² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23211590613121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 796184464 + ... + 796213616.

It is an arithmetic number, because the mean of its divisors is an integer number (67651857000).

Almost surely, 2^{23211590613120} is an apocalyptic number.

23211590613120 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 23211590613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51956626176000).

23211590613120 is an abundant number, since it is smaller than the sum of its proper divisors (80701661738880).

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

23211590613120 is a wasteful number, since it uses less digits than its factorization.

23211590613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29243 (or 29214 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 23211590613120 in words is "twenty-three trillion, two hundred eleven billion, five hundred ninety million, six hundred thirteen thousand, one hundred twenty".