19857342400 has 168 divisors, whose sum is σ = 56005431296. Its totient is φ = 6788275200.

The previous prime is 19857342359. The next prime is 19857342431. The reversal of 19857342400 is 424375891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4107985 + ... + 4112815.

Almost surely, 2^19857342400 is an apocalyptic number.

19857342400 is a gapful number since it is divisible by the number (10) 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 19857342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28002715648).

19857342400 is an abundant number, since it is smaller than the sum of its proper divisors (36148088896).

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

19857342400 is a wasteful number, since it uses less digits than its factorization.

19857342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 19857342400 in words is "nineteen billion, eight hundred fifty-seven million, three hundred forty-two thousand, four hundred".