23798966400 has 960 divisors, whose sum is σ = 101649699360. Its totient is φ = 5419008000.

The previous prime is 23798966357. The next prime is 23798966423. The reversal of 23798966400 is 466989732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48470155 + ... + 48470645.

Almost surely, 2^23798966400 is an apocalyptic number.

23798966400 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 23798966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50824849680).

23798966400 is an abundant number, since it is smaller than the sum of its proper divisors (77850732960).

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

23798966400 is a wasteful number, since it uses less digits than its factorization.

23798966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 23798966400 in words is "twenty-three billion, seven hundred ninety-eight million, nine hundred sixty-six thousand, four hundred".