23085820800000 has 4224 divisors, whose sum is σ = 107460622080000. Its totient is φ = 4877107200000.

The previous prime is 23085820799999. The next prime is 23085820800001. The reversal of 23085820800000 is 802858032.

It is an interprime number because it is at equal distance from previous prime (23085820799999) and next prime (23085820800001).

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 (23085820800001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 563068799980 + ... + 563068800020.

Almost surely, 2^{23085820800000} is an apocalyptic number.

23085820800000 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 23085820800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53730311040000).

23085820800000 is an abundant number, since it is smaller than the sum of its proper divisors (84374801280000).

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

23085820800000 is an frugal number, since it uses more digits than its factorization.

23085820800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 23085820800000 in words is "twenty-three trillion, eighty-five billion, eight hundred twenty million, eight hundred thousand".