919503912960 has 840 divisors, whose sum is σ = 3365114540760. Its totient is φ = 241044553728.

The previous prime is 919503912919. The next prime is 919503912989. The reversal of 919503912960 is 69219305919.

919503912960 is a `hidden beast` number, since 9 + 1 + 9 + 503 + 9 + 129 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136746123264 + 782757789696 = 369792^2 + 884736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 919503912897 and 919503912906.

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 55 ways as a sum of consecutive naturals, for example, 5315051434 + ... + 5315051606.

It is an arithmetic number, because the mean of its divisors is an integer number (4006088739).

Almost surely, 2^919503912960 is an apocalyptic number.

919503912960 is a gapful number since it is divisible by the number (90) 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 919503912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682557270380).

919503912960 is an abundant number, since it is smaller than the sum of its proper divisors (2445610627800).

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

919503912960 is an frugal number, since it uses more digits than its factorization.

919503912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 919503912960 in words is "nine hundred nineteen billion, five hundred three million, nine hundred twelve thousand, nine hundred sixty".