23066766213120 has 1440 divisors, whose sum is σ = 96595903404000. Its totient is φ = 5265269194752.

The previous prime is 23066766213041. The next prime is 23066766213121. The reversal of 23066766213120 is 2131266766032.

23066766213120 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 6 + 7 + 6 + 621 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (23066766213121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31213485711 + ... + 31213486449.

It is an arithmetic number, because the mean of its divisors is an integer number (67080488475).

Almost surely, 2^{23066766213120} is an apocalyptic number.

23066766213120 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 23066766213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48297951702000).

23066766213120 is an abundant number, since it is smaller than the sum of its proper divisors (73529137190880).

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

23066766213120 is an frugal number, since it uses more digits than its factorization.

23066766213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23066766213120 in words is "twenty-three trillion, sixty-six billion, seven hundred sixty-six million, two hundred thirteen thousand, one hundred twenty".