19712393280 has 504 divisors, whose sum is σ = 72438813720. Its totient is φ = 5106032640.

The previous prime is 19712393279. The next prime is 19712393339. The reversal of 19712393280 is 8239321791.

19712393280 is a `hidden beast` number, since 1 + 97 + 1 + 239 + 328 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1719926784 + 17992466496 = 41472^2 + 134136^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 86080206 + ... + 86080434.

It is an arithmetic number, because the mean of its divisors is an integer number (143727805).

Almost surely, 2^19712393280 is an apocalyptic number.

19712393280 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 19712393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36219406860).

19712393280 is an abundant number, since it is smaller than the sum of its proper divisors (52726420440).

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

19712393280 is an frugal number, since it uses more digits than its factorization.

19712393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19712393280 in words is "nineteen billion, seven hundred twelve million, three hundred ninety-three thousand, two hundred eighty".