23785196400 has 1200 divisors, whose sum is σ = 107164569600. Its totient is φ = 4926873600.

The previous prime is 23785196363. The next prime is 23785196443. The reversal of 23785196400 is 469158732.

23785196400 is a `hidden beast` number, since 2 + 3 + 78 + 519 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119523501 + ... + 119523699.

It is an arithmetic number, because the mean of its divisors is an integer number (89303808).

It is a 1-persistent number, because it is pandigital, but 2⋅23785196400 = 47570392800 is not.

Almost surely, 2^23785196400 is an apocalyptic number.

23785196400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 154224×154225.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23785196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53582284800).

23785196400 is an abundant number, since it is smaller than the sum of its proper divisors (83379373200).

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

23785196400 is a wasteful number, since it uses less digits than its factorization.

23785196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23785196400 in words is "twenty-three billion, seven hundred eighty-five million, one hundred ninety-six thousand, four hundred".