23079770609280 has 2048 divisors, whose sum is σ = 99086893056000. Its totient is φ = 4520355840000.

The previous prime is 23079770609263. The next prime is 23079770609317. The reversal of 23079770609280 is 8290607797032.

It is a super-2 number, since 2×23079770609280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11829712305 + ... + 11829714255.

It is an arithmetic number, because the mean of its divisors is an integer number (48382272000).

Almost surely, 2^{23079770609280} is an apocalyptic number.

23079770609280 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 23079770609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49543446528000).

23079770609280 is an abundant number, since it is smaller than the sum of its proper divisors (76007122446720).

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

23079770609280 is a wasteful number, since it uses less digits than its factorization.

23079770609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 23079770609280 in words is "twenty-three trillion, seventy-nine billion, seven hundred seventy million, six hundred nine thousand, two hundred eighty".