19139068800 has 576 divisors, whose sum is σ = 71728325760. Its totient is φ = 5038848000.

The previous prime is 19139068777. The next prime is 19139068801. The reversal of 19139068800 is 886093191.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×19139068800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19139068801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 117417519 + ... + 117417681.

Almost surely, 2^19139068800 is an apocalyptic number.

19139068800 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 19139068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35864162880).

19139068800 is an abundant number, since it is smaller than the sum of its proper divisors (52589256960).

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

19139068800 is a wasteful number, since it uses less digits than its factorization.

19139068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 19139068800 in words is "nineteen billion, one hundred thirty-nine million, sixty-eight thousand, eight hundred".