19072972800 has 1008 divisors, whose sum is σ = 82140523920. Its totient is φ = 4299816960.

The previous prime is 19072972739. The next prime is 19072972829. The reversal of 19072972800 is 827927091.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 261273564 + ... + 261273636.

It is an arithmetic number, because the mean of its divisors is an integer number (81488615).

Almost surely, 2^19072972800 is an apocalyptic number.

19072972800 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 19072972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41070261960).

19072972800 is an abundant number, since it is smaller than the sum of its proper divisors (63067551120).

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

19072972800 is an frugal number, since it uses more digits than its factorization.

19072972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 19072972800 in words is "nineteen billion, seventy-two million, nine hundred seventy-two thousand, eight hundred".