23005321400 has 192 divisors, whose sum is σ = 58777488000. Its totient is φ = 8338636800.

The previous prime is 23005321399. The next prime is 23005321403. The reversal of 23005321400 is 412350032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23005321403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11011556 + ... + 11013644.

It is an arithmetic number, because the mean of its divisors is an integer number (306132750).

Almost surely, 2^23005321400 is an apocalyptic number.

23005321400 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 23005321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29388744000).

23005321400 is an abundant number, since it is smaller than the sum of its proper divisors (35772166600).

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

23005321400 is a wasteful number, since it uses less digits than its factorization.

23005321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 23005321400 its reverse (412350032), we get a palindrome (23417671432).

The spelling of 23005321400 in words is "twenty-three billion, five million, three hundred twenty-one thousand, four hundred".