23033139152800 has 864 divisors, whose sum is σ = 72199804916736. Its totient is φ = 6997155840000.

The previous prime is 23033139152759. The next prime is 23033139152819. The reversal of 23033139152800 is 825193133032.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4040189950 + ... + 4040195650.

It is an arithmetic number, because the mean of its divisors is an integer number (83564589024).

Almost surely, 2^{23033139152800} is an apocalyptic number.

23033139152800 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 23033139152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36099902458368).

23033139152800 is an abundant number, since it is smaller than the sum of its proper divisors (49166665763936).

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

23033139152800 is a wasteful number, since it uses less digits than its factorization.

23033139152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 23033139152800 in words is "twenty-three trillion, thirty-three billion, one hundred thirty-nine million, one hundred fifty-two thousand, eight hundred".