19712160000 has 945 divisors, whose sum is σ = 79825782729. Its totient is φ = 4852224000.

The previous prime is 19712159969. The next prime is 19712160029. The reversal of 19712160000 is 6121791.

The square root of 19712160000 is 140400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 19470295296 + 241864704 = 139536^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1516319994 + ... + 1516320006.

Almost surely, 2^19712160000 is an apocalyptic number.

19712160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19712160000 is the 140400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19712160000

19712160000 is an abundant number, since it is smaller than the sum of its proper divisors (60113622729).

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

19712160000 is an frugal number, since it uses more digits than its factorization.

19712160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

Adding to 19712160000 its reverse (6121791), we get a palindrome (19718281791).

The spelling of 19712160000 in words is "nineteen billion, seven hundred twelve million, one hundred sixty thousand".