19148857728000 has 2816 divisors, whose sum is σ = 88335998779392. Its totient is φ = 3552215040000.

The previous prime is 19148857727977. The next prime is 19148857728037. The reversal of 19148857728000 is 82775884191.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11915903197 + ... + 11915904803.

Almost surely, 2^{19148857728000} is an apocalyptic number.

19148857728000 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 19148857728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44167999389696).

19148857728000 is an abundant number, since it is smaller than the sum of its proper divisors (69187141051392).

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

19148857728000 is a wasteful number, since it uses less digits than its factorization.

19148857728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 60.

The spelling of 19148857728000 in words is "nineteen trillion, one hundred forty-eight billion, eight hundred fifty-seven million, seven hundred twenty-eight thousand".