19104892800 has 384 divisors, whose sum is σ = 72615709440. Its totient is φ = 4324392960.

The previous prime is 19104892783. The next prime is 19104892811. The reversal of 19104892800 is 829840191.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7189072 + ... + 7191728.

It is an arithmetic number, because the mean of its divisors is an integer number (189103410).

Almost surely, 2^19104892800 is an apocalyptic number.

19104892800 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 19104892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36307854720).

19104892800 is an abundant number, since it is smaller than the sum of its proper divisors (53510816640).

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

19104892800 is a wasteful number, since it uses less digits than its factorization.

19104892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 19104892800 in words is "nineteen billion, one hundred four million, eight hundred ninety-two thousand, eight hundred".