23828299286400 has 3072 divisors, whose sum is σ = 105140699136000. Its totient is φ = 5222933913600.

The previous prime is 23828299286399. The next prime is 23828299286417. The reversal of 23828299286400 is 468299282832.

23828299286400 is a `hidden beast` number, since 2 + 3 + 8 + 28 + 299 + 286 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 181895414335 + ... + 181895414465.

It is an arithmetic number, because the mean of its divisors is an integer number (34225488000).

Almost surely, 2^{23828299286400} is an apocalyptic number.

23828299286400 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 23828299286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52570349568000).

23828299286400 is an abundant number, since it is smaller than the sum of its proper divisors (81312399849600).

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

23828299286400 is an equidigital number, since it uses as much as digits as its factorization.

23828299286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 23828299286400 in words is "twenty-three trillion, eight hundred twenty-eight billion, two hundred ninety-nine million, two hundred eighty-six thousand, four hundred".