19232916480 has 528 divisors, whose sum is σ = 71722949760. Its totient is φ = 4887134208.

The previous prime is 19232916473. The next prime is 19232916487. The reversal of 19232916480 is 8461923291.

19232916480 is a `hidden beast` number, since 1 + 92 + 329 + 164 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (19232916473) and next prime (19232916487).

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

It is not an unprimeable number, because it can be changed into a prime (19232916487) 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, 73128829 + ... + 73129091.

It is an arithmetic number, because the mean of its divisors is an integer number (135838920).

Almost surely, 2^19232916480 is an apocalyptic number.

19232916480 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 19232916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35861474880).

19232916480 is an abundant number, since it is smaller than the sum of its proper divisors (52490033280).

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

19232916480 is a wasteful number, since it uses less digits than its factorization.

19232916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19232916480 in words is "nineteen billion, two hundred thirty-two million, nine hundred sixteen thousand, four hundred eighty".