23380391966400 has 2016 divisors, whose sum is σ = 104050367016960. Its totient is φ = 5044357140480.

The previous prime is 23380391966377. The next prime is 23380391966411. The reversal of 23380391966400 is 466919308332.

23380391966400 is a `hidden beast` number, since 2 + 3 + 380 + 39 + 196 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17943508149 + ... + 17943509451.

Almost surely, 2^{23380391966400} is an apocalyptic number.

23380391966400 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 23380391966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52025183508480).

23380391966400 is an abundant number, since it is smaller than the sum of its proper divisors (80669975050560).

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

23380391966400 is a wasteful number, since it uses less digits than its factorization.

23380391966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 23380391966400 in words is "twenty-three trillion, three hundred eighty billion, three hundred ninety-one million, nine hundred sixty-six thousand, four hundred".