19400068800 has 252 divisors, whose sum is σ = 78803180976. Its totient is φ = 4434278400.

The previous prime is 19400068783. The next prime is 19400068811. The reversal of 19400068800 is 886000491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4570 + ... + 197030.

Almost surely, 2^19400068800 is an apocalyptic number.

19400068800 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 19400068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39401590488).

19400068800 is an abundant number, since it is smaller than the sum of its proper divisors (59403112176).

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

19400068800 is a wasteful number, since it uses less digits than its factorization.

19400068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192496 (or 192478 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 19400068800 in words is "nineteen billion, four hundred million, sixty-eight thousand, eight hundred".