19520484480 has 768 divisors, whose sum is σ = 82335052800. Its totient is φ = 4162461696.

The previous prime is 19520484439. The next prime is 19520484509. The reversal of 19520484480 is 8448402591.

19520484480 is a `hidden beast` number, since 1 + 9 + 520 + 4 + 8 + 44 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 63584487 + ... + 63584793.

It is an arithmetic number, because the mean of its divisors is an integer number (107207100).

Almost surely, 2^19520484480 is an apocalyptic number.

19520484480 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 19520484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41167526400).

19520484480 is an abundant number, since it is smaller than the sum of its proper divisors (62814568320).

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

19520484480 is a wasteful number, since it uses less digits than its factorization.

19520484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 19520484480 in words is "nineteen billion, five hundred twenty million, four hundred eighty-four thousand, four hundred eighty".