23133503085000 has 1280 divisors, whose sum is σ = 93943752376320. Its totient is φ = 4605120000000.

The previous prime is 23133503084987. The next prime is 23133503085047. The reversal of 23133503085000 is 58030533132.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3616301802 + ... + 3616308198.

It is an arithmetic number, because the mean of its divisors is an integer number (73393556544).

Almost surely, 2^{23133503085000} is an apocalyptic number.

23133503085000 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 23133503085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46971876188160).

23133503085000 is an abundant number, since it is smaller than the sum of its proper divisors (70810249291320).

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

23133503085000 is a wasteful number, since it uses less digits than its factorization.

23133503085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 23133503085000 in words is "twenty-three trillion, one hundred thirty-three billion, five hundred three million, eighty-five thousand".