23166611220480 has 768 divisors, whose sum is σ = 92504092262400. Its totient is φ = 4819015434240.

The previous prime is 23166611220413. The next prime is 23166611220481. The reversal of 23166611220480 is 8402211666132.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23166611220481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 198423561 + ... + 198540279.

It is an arithmetic number, because the mean of its divisors is an integer number (120448036800).

Almost surely, 2^{23166611220480} is an apocalyptic number.

23166611220480 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 23166611220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46252046131200).

23166611220480 is an abundant number, since it is smaller than the sum of its proper divisors (69337481041920).

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

23166611220480 is a wasteful number, since it uses less digits than its factorization.

23166611220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116840 (or 116820 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 23166611220480 in words is "twenty-three trillion, one hundred sixty-six billion, six hundred eleven million, two hundred twenty thousand, four hundred eighty".