19072838400 has 1296 divisors, whose sum is σ = 84948312960. Its totient is φ = 3715891200.

The previous prime is 19072838387. The next prime is 19072838401. The reversal of 19072838400 is 483827091.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19072838401) 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 143 ways as a sum of consecutive naturals, for example, 196627152 + ... + 196627248.

Almost surely, 2^19072838400 is an apocalyptic number.

19072838400 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 19072838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42474156480).

19072838400 is an abundant number, since it is smaller than the sum of its proper divisors (65875474560).

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

19072838400 is a wasteful number, since it uses less digits than its factorization.

19072838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 19072838400 in words is "nineteen billion, seventy-two million, eight hundred thirty-eight thousand, four hundred".