23005022400 has 252 divisors, whose sum is σ = 82920590064. Its totient is φ = 6048000000.

The previous prime is 23005022371. The next prime is 23005022419. The reversal of 23005022400 is 422050032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1011150 + ... + 1033650.

Almost surely, 2^23005022400 is an apocalyptic number.

23005022400 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 23005022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41460295032).

23005022400 is an abundant number, since it is smaller than the sum of its proper divisors (59915567664).

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

23005022400 is a wasteful number, since it uses less digits than its factorization.

23005022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22600 (or 22582 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 23005022400 its reverse (422050032), we get a palindrome (23427072432).

The spelling of 23005022400 in words is "twenty-three billion, five million, twenty-two thousand, four hundred".