19528750080 has 990 divisors, whose sum is σ = 84115991322. Its totient is φ = 4319723520.

The previous prime is 19528750079. The next prime is 19528750123. The reversal of 19528750080 is 8005782591.

It is a happy number.

19528750080 is a `hidden beast` number, since 19 + 52 + 8 + 7 + 500 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15623000064 + 3905750016 = 124992^2 + 62496^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 629959665 + ... + 629959695.

Almost surely, 2^19528750080 is an apocalyptic number.

19528750080 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 19528750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057995661).

19528750080 is an abundant number, since it is smaller than the sum of its proper divisors (64587241242).

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

19528750080 is an equidigital number, since it uses as much as digits as its factorization.

19528750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

Multiplying 19528750080 by its sum of digits (45), we get a square (878793753600 = 937440²).

19528750080 divided by its sum of digits (45) gives a square (433972224 = 20832²).

The spelling of 19528750080 in words is "nineteen billion, five hundred twenty-eight million, seven hundred fifty thousand, eighty".