20233824000 has 576 divisors, whose sum is σ = 74853961728. Its totient is φ = 4810752000.

The previous prime is 20233823989. The next prime is 20233824007. The reversal of 20233824000 is 42833202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233824007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38687739 + ... + 38688261.

Almost surely, 2^20233824000 is an apocalyptic number.

20233824000 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 20233824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37426980864).

20233824000 is an abundant number, since it is smaller than the sum of its proper divisors (54620137728).

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

20233824000 is a wasteful number, since it uses less digits than its factorization.

20233824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 20233824000 in words is "twenty billion, two hundred thirty-three million, eight hundred twenty-four thousand".