19132066560 has 432 divisors, whose sum is σ = 67200882336. Its totient is φ = 4619501568.

The previous prime is 19132066553. The next prime is 19132066561. The reversal of 19132066560 is 6566023191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19132066561) 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 47 ways as a sum of consecutive naturals, for example, 214966996 + ... + 214967084.

It is an arithmetic number, because the mean of its divisors is an integer number (155557598).

Almost surely, 2^19132066560 is an apocalyptic number.

19132066560 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 19132066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600441168).

19132066560 is an abundant number, since it is smaller than the sum of its proper divisors (48068815776).

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

19132066560 is an equidigital number, since it uses as much as digits as its factorization.

19132066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 19132066560 in words is "nineteen billion, one hundred thirty-two million, sixty-six thousand, five hundred sixty".