23778816000 has 416 divisors, whose sum is σ = 80409146688. Its totient is φ = 6239027200.

The previous prime is 23778815939. The next prime is 23778816007. The reversal of 23778816000 is 61887732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23778816007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 173567932 + ... + 173568068.

It is an arithmetic number, because the mean of its divisors is an integer number (193291218).

Almost surely, 2^23778816000 is an apocalyptic number.

23778816000 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 23778816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40204573344).

23778816000 is an abundant number, since it is smaller than the sum of its proper divisors (56630330688).

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

23778816000 is a wasteful number, since it uses less digits than its factorization.

23778816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 23778816000 in words is "twenty-three billion, seven hundred seventy-eight million, eight hundred sixteen thousand".